Davenport was born and educated in Accrington, where his gifts for mathematics and chemistry were early recognised. At the age of sixteen he was awarded scholarships to attend Manchester University (1924-1927), where he won first-class honours and the respect of such tutors as L. J. Mordell and E. A. Milne. The latter encouraged him to enter for a scholarship at Trinity College Cambridge, where he read for the Tripos (1927-1929), began research with J. E. Littlewood, won the Rayleigh Prize (1931) and a Trinity Fellowship (1932-1937). Another important event of this period was Davenport's acceptance of an invitation by H. Hasse to stay with him in Marburg, a visit which enabled Davenport to meet several distinguished German mathematicians and to learn the language thoroughly.

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The papers consist of correspondence, school notebooks, research notes and drafts, diaries, photographs, and publications documenting most aspects of Davenport's life and work. His contributions to his subject as student, teacher, writer and researcher, are well documented and the collection as a whole is of pedagogical interest. Less fully represented are his extensive travels for visits and conferences (which can sometimes only be deduced from a jotted heading on a lecture script) and his work for the London Mathematical Society.

The 60 boxes of material are organised into seven series: Biographical and personal papers, School and university notebooks and lecture notes, Lectures and addresses, Publications, Research notes and drafts, Faculty of Mathematics, Cambridge and Correspondence.

Series A, Biographical and personal papers, includes Davenport's unpublished reminiscences and reflections on his life's work, written shortly before his death with the assistance of his wife and his colleague D. J. Lewis (A.8-10). Other documentation on his career includes, unusually, his examination scripts and marks awarded at Manchester University in 1927 preserved by his principal tutor, L. J. Mordell (A.30-31).

Series B, School and university notebooks and lecture notes, is a record of mathematical teaching at Manchester 1924-1927 (B.23-54) and Cambridge 1927-1932 (B.55-92), by means of Davenport's notes, carefully taken and preserved, of lecture courses, class work and exercises.

Series C, Lectures and addresses, is a substantial section representing Davenport's own contribution to the teaching of mathematics from the 1930s as a Research Fellow in Cambridge through his various university appointments and lectures abroad, including the lectures at Michigan, later published in book form (C.115-124). Several of these contain sets of problems and solutions, and some examination material. On a less technical note is the address given in 1947 at Accrington Grammar School, Davenport's old school (C.131). A new generation in the filiation of mathematics is represented by the notes on Davenport's lectures at London in 1946 made by C. A. Rogers, his research student, collaborator and eventual successor as Astor Professor (C.167).

Series D, Publications, includes drafts, sometimes accompanied by correspondence with collaborators (see especially D.110-120) or publishers, for Davenport's many papers. These have been linked wherever possible to the numbered list in the Bibliography appended to the Royal Society Memoir by C. A. Rogers and others (*Biographical Memoirs of Fellows of the Royal Society*, 17, 1971). In addition, there is considerable material relating to work not listed in the official bibliography: this includes Davenport's books, *The higher arithmetic* (D.89-92) and *Multiplicative number theory* (D.170-182), book reviews (D.208), unpublished work (D.201-203) and a posthumous publication (D.207).

Series E, Research notes and drafts, contains a variety of material: paginated narrative sequences perhaps intended for lectures or papers, notes and calculations often on problems arising from work by others, and miscellaneous shorter unidentified notes. There is in consequence some potential overlap with other series, notably C and D. Of interest is the collaborative work with Helmut Hasse arising from Davenport's period in Marburg (E.1-15). Davenport's notes of lectures and talks by others (E.103-126) include mathematicians of an older generation (K. Mahler, L. J. Mordell, C. L. Siegel), friends and contemporaries (P. Erdös, H. A. Heilbronn), and pupils and successors (B. J. Birch, J. W. S. Cassels, C. A. Rogers, K. F. Roth). Another link in the pedagogic chain is J. E. Littlewood's extended list of 'Research Problems' and Davenport's 'Comments' (E.131)

Series F, Faculty of Mathematics, Cambridge, is small but includes a little material on research, examinations and the newly-created Department of Applied Mathematics and Theoretical Physics.

Acquired from the Contemporary Scientific Archives Centre, 1986.

The material was received by the Contemporary Scientific Archives Centre from Mrs. Anne Davenport at various dates 1983 - 84. A little additional material was received from Professor B.J. Birch in 1986.

The current record was created using the Contemporary Scientific Archives Centre finding aid, and was edited by Diana Smith in 2020-2021.

This record was prepared using a more detailed finding aid created by Jeannine Alton, Peter Harper and Margaret Erskine at the Contemporary Scientific Archives Centre in 1986, reference number CSAC 112.3.86.

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This series consists of drafts, correspondence, diaries, photographs, and documents, and has been arranged into seven subseries: Obituaries and tributes (A.1-7); Autobiographical writings (A.8-14); Career, honours, and awards (A.15-75); Davenport's death (A.75-91); Diaries (A.92-129); Miscellaneous items (A.130-132); and Photographs (A.133-137).

A.1-7, Obituaries and tributes, includes typescript biographical notes made by Mrs. Davenport after her husband's death (A.7). The Autobiographical writings at A.8-14 include reminiscences (A.8-10) made by Davenport with the assistance of his wife and D. J. Lewis in 1969, although very ill. He died in June of that year (see Memoir, p.165). Some, probably earlier, ms. notes on his career survive, as well as notes on his impressions of America and some humorous writings.

The papers at A.15-75 record Davenport's career and honours, and are arranged in chronological order. These records begin with Davenport's school career, 1917-1924 at The Municipal Secondary School, renamed Accrington Grammar School in 1921, and continue with records from The Victoria University of Manchester, 1924-1927. Davenport was an Affiliated Student at Trinity College Cambridge, 1927-29, taking a second first degree, and in 1932 was awarded a research fellowship. 'On the expiry of his Trinity Fellowship in 1937, Davenport was appointed by Mordell to an Assistant Lectureship in Manchester' (Memoir, p.161), where he stayed until 1941. From 1941 to 1945 he was at the University College of North Wales, Bangor, and from 1945-1948 at University College, London. He took up the Rouse Ball Chair of Mathematics at the University of Cambridge from 1958 until his death.

The papers housed as A.76-91 are primarily letters of condolence after Davenport's death. After a period of illness following the removal of a lung, Davenport died on 9 June 1969. (Memoir, p.165)

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Obituary from *The Times*, 10 June 1969; additional tribute by L. J. Mordell, ibid., 19 June 1969.

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Entry for *Who's Who in Europe*, sent by publishers for correction; received after Davenport's death.

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Tributes by L. J. Mordell and by C. A. Rogers (reprints from *Acta Arithmetica*, 1971).

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Correspondence and material relating to the memoir of Davenport by C.A. Rogers, D.A. Burgess, H. Halberstam and B.J. Birch (*Biographical Memoirs of Fellows of the Royal Society*, 17, 1971).

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For the *Bulletin of the London Mathematical Society*, 4 (1972).

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1p. photocopy giving reference to Davenport from T. E. B. Howarth's 'Cambridge between Two Wars'.

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Typescript biographical notes made by Mrs. Davenport after her husband's death, in the form of chronological lists, as follows:

Visits made by German, and other, mathematicians from 1933 onwards, initially at Davenport's rooms in Trinity College, Cambridge.

Visits to conferences, foreign universities and institutions, 1931-68.

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Ms. draft of account of his own career in mathematics. The latest reference is 1958.

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Typescript made by Mrs. Davenport of her husband's account of his early life to 1929, with reference to his childhood, family background and his undergraduate days at Manchester.

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Dictated to his wife and D. J. Lewis

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4pp.

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Typescript notes re impressions of American institutions, from visit of 1947-48.

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2pp. ms., humorously describing the fate of the tourist in Moscow. prompted by visit to a conference there, September 1966

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Ms. notes, made on file-cards, redefining certain concepts, such as 'inflation' and 'education', n.d.

Davenport's letter to Editor of *The Times* re 'inflation', 1968. Cutting only.

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Accrington Grammar School (until 1921, The Municipal Secondary School), termly reports

For Davenport's school notebooks, see B1-B22, School and university notebooks and lecture notes

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Accrington Grammar School (until 1921, The Municipal Secondary School), termly reports

For Davenport's school notebooks, see B1-B22, School and university notebooks and lecture notes

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Accrington Grammar School (until 1921, The Municipal Secondary School), termly reports

For Davenport's school notebooks, see B1-B22, School and university notebooks and lecture notes

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Accrington Grammar School (until 1921, The Municipal Secondary School), termly reports

For Davenport's school notebooks, see B1-B22, School and university notebooks and lecture notes

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Two letters from Lancashire Education Committee, re `Open Junior Exhibitions', one of which was awarded to Davenport.

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Educational certificates, issued by Joint Matriculation Board.

E.20: List of Successful Candidates, School Certificate Examination

E.21: School Certificate

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Educational certificates, issued by Joint Matriculation Board.

See A.27 for questions papers

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Letters from headmaster, 1924, 1927.

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Invitation to the Prize Distribution, at which Davenport gave the address

For text see C.131

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Letters to Davenport re various scholarships, from the University and Lancashire Education Committee

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Examination papers taken by Davenport

Entrance Scholarships

See also A.23.

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Examination papers taken by Davenport

Honours School of Mathematics, Part I

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Examination papers taken by Davenport

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Two examination scripts written by Davenport for the Honours School of Mathematics, Part III, May 1927, set, marked and preserved by L.J. Mordell, who sent them to Mrs. Davenport in 1971.

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See also A.134, A.135

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Correspondence from Trinity College, re scholarship, status as an Affiliated Student, award of exhibition and the Walker Prize (1929).

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Letter from the Victoria University of Manchester, re scholarship and other arrangements.

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Trinity College class lists, 1928; inter-college examination paper, n.d.; ms. note of 'May Marks'; battels bill for Michaelmas Term, 1929.

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'The continuation of analytic functions'

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Dissertation submitted for a fellowship

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Three letters of congratulation, 1929 and n.d., on Cambridge successes, including two from former mathematics mistress, A. Heap

See Memoir, p.159.

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Telegram announcing election to fellowship at Trinity, letters and telegrams of congratulation.

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M.A. certificate, Cambridge

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Note from J.J. Thomson, re weekend visit to 'Christ-Church', asking Davenport 'to represent the College'.

See Memoir, p.160

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Application for academic post (possibly assistant lectureship at Manchester)

Ms. and typescripts of testimonials by G.H. Hardy, and typescript testimonial by A.S. Besicovitch.

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'Conditions of Appointment' for post of assistant lecturer, 1937.

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Sc.D. certificate, Cambridge

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Letter of application for Chair of Mathematics, University of Durham, with bibliography.

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Fellowship of Royal Society, Receipts from Royal Society for fees.

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Recommendation by L.J. Mordell to promote Davenport to Lecturer, n.d., probably 1941.

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See also D.5-D.15, Adams Prize Essay for 1939-40.

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Application for Chair of Mathematics, U.C.N.W., 1941.

Ms. and typescripts of testimonials from G.H. Hardy and L.J. Mordell, brief curriculum vitae and covering letter.

`Memorandum' re terms of engagement.

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Correspondence from Principal, U.C.N.W., re appointment, July, September 1941.

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Letter of thanks from D.R. Pye, Director of Scientific Research, Ministry of Aircraft Production, to Davenport and staff at Bangor, re 'the bomb ballistic computations'.

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Three letters from Vice-Chancellor, University of Manchester, re possibility of Davenport's succeeding L J. Mordell as Fielden Professor of Pure Mathematics.

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Correspondence, chiefly from D.R. Pye and G.B. Jeffery, University College London, re appointment to Astor Chair of Mathematics.

See also A59 and A60

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Letters of congratulation on appointment to Astor Chair.

See A59-A60

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Invitation to the Davenports to attend farewell dinner given by colleagues at U.C.N.W.

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Typescript outline of mathematics teaching at University College for 1945-46.

See A.56, A.57 for correspondence re appointment and congratulatory letters.

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Letter from Stanford University, 1947, inviting Davenport to go as Visiting Professor for academic year 1947-48

Letter accompanying cheque for Berwick Prize of the London Mathematical Society, 1954.

See A.56, A.57 for correspondence re appointment and congratulatory letters.

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Brief correspondence re appointment

See Section F for other material on Cambridge and the Faculty of Mathematics.

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See Section F for other material on Cambridge and the Faculty of Mathematics.

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See Section F for other material on Cambridge and the Faculty of Mathematics.

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See Section F for other material on Cambridge and the Faculty of Mathematics.

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See Section F for other material on Cambridge and the Faculty of Mathematics.

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See Section F for other material on Cambridge and the Faculty of Mathematics.

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5pp. ms. of speech given by Davenport at 'Presentation' to him, 18 June 1958, at University College, London.

See Section F for other material on Cambridge and the Faculty of Mathematics.

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Letters from Royal Society informing Davenport of the award, inviting him to attend Anniversary Meeting to receive medal and to Anniversary Dinner; invitation cards.

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Menu and seating plan of Anniversary Dinner.

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Correspondence re arrangements, etc., programme, lunch menu.

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Material re Memorial Service, Trinity College, and London Mathematical Society Memorial Meeting.

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Scrapbook, containing almost exclusively newspaper cuttings re Davenport's career, 1924-1969. The cuttings include some non-mathematical items, such as reports on Accrington Grammar School prize-giving ceremonies. Some loose items.

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2 pp. typescript note of German and Italian mathematicians, listed according to whether they left or remained in their posts before and during World War II, and their political bias. n.d.

The first category, 'German refugee mathematicians', including G. Szegö and H. Heilbronn, gives names, subject speciality, former posts and present whereabouts. Davenport states that all were anti-Nazis.

The second category, 'Mathematicians who stayed in Germany', gives name, pre-war post and extent to which individual was involved in Nazi regime. The third category is 'Collaborators'.

See Memoir, p.161

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Letter from Secretary of English Speaking Union, 1958, thanking Davenport for suggesting possible members of a selection committee.

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Postcards sent by friends and colleagues living or visiting abroad.

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Photographs of Davenport

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Graduation, Victoria University of Manchester; two portrait photographs of Davenport.

See also A32, degree day programme for the Victoria University of Manchester

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Graduation, Victoria University of Manchester; Mounted group photograph, probably of mathematics graduates.

See also A32, degree day programme for the Victoria University of Manchester

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Miscellaneous group photographs, all including Davenport.

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International Congress of Mathematicians, Harvard conference

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This series consists of notebooks and lecture notes kept at three different institutions: Accrington Grammar School (B.1-22), The Victoria University of Manchester (B.23-54), and Trinity College, Cambridge (B.55-92).

With one exception, the notebooks from Accrington Grammar School (B.1-22) contain Davenport's notes and diagrams on physics, chemistry and mathematics, presumably work for the School Certificate (B.1-2) and the Higher School Certificate (B.3-17), although several are undated. Only B.22 shows Davenport's non-mathematical interests, containing extracts from various writers and drafts of two speeches, possibly delivered to a school debating society.

The notebooks and lecture notes from the Victoria University of Manchester (B.23-54) date from 1924-1927. B.23-30 are hardback notebooks arranged by the covering titles with which Davenport labelled them. Only two, B.24 and B.29, can be dated (1924-1925 and 1925-1926 respectively). None are indexed and only two are paginated (B.29-30). B.31-54 are loose ms. pages of notes on the literature, notes on lecture courses and class work and exercises by Davenport. Many bear an indication of the course number, or of the person giving the lectures and/or supervising the work. The material was kept in bulky wallet folders labelled by Davenport; the contents have been removed and where appropriate preserved in more than one folder for ease of reference. The original folders are at B.54. See B.85-87 for notes originally made at Manchester and subsequently used at Cambridge.

For Davenport's school reports 1919-1924 see A.15-A.18.

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first entry 14 September 1923

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Some loose enclosures, one dated March 1924.

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Davenport's Accrington address (inside front cover) replaced by address in Manchester.

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Two loose enclosures: ms. drafts of speeches 'Should Capital Punishment be Abolished?' and re question 'Whether Science or Art contributes the more to civilisation'.

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Note on inside front cover: `1st year BSc Hons. Maths Notes'.

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Note on inside front cover: `Second year BSc. Honours Maths notes'

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Contents of a folder so inscribed.B.31: Ms. notes, mainly on Strings, some headed 'Routh', some dated 1925, 1926.

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Contents of a folder so inscribed.E.33: Ms. notes, all headed 'Maths VI b', all dated October 1926-May 1927.

E.34: Ms. notes, variously titled, including 'Study of Certain Transformations. Duporcq Chap. VI' and 'Quadrics'.

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Contents of a folder so inscribed.E.36: Ms. notes, variously titled, chiefly on integrals and series, some dated 1927.

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Contents of a folder so inscribed.E.38: Ms. notes on tensors and vectors.

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Contents of a folder so inscribed.B.40: Ms. notes, chiefly on motion of a rigid body.

B.41-42: Extensive sequence of notes on various dynamics topics.

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Contents of a folder so inscribed.B.44: Ms. notes, on strain and wave motion.

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Contents of a folder so inscribed.

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Contents of a folder so inscribed.B.48: Extensive sequence of notes, variously sub-titled, including 'Complex numbers'.

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Contents of a folder so inscribed.B.50: Extensive sequence of notes, headed 'Mathematics VI a', variously sub-titled, including 'Infinite Series' and 'Uniform Convergence of Infinite Products'.

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Contents of a folder so inscribed.B.52: Two sequences of notes: 'Differential Equations' and 'Elliptic Functions'.

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See Memoir, pp.159-60.

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See Memoir, pp.159-60.

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18 pp. misc. ms. notes enclosed.

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Probably from Davenport's period as undergraduate in Cambridge.

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Contents of a folder so inscribed.

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Contents of a folder so inscribed.B.67: 'Algebraic Geometry. Mr. Richmond. Michaelmas Term 1928'. Extensive sequence of ms. notes, variously sub-titled.

B.68: 'Curves and surfaces of orders 3 and 4. Mr. Richmond. Lent Term 1929'. Extensive sequence of ms. notes, variously sub-titled.

B.69: 'Kummer's quartic surface'. 12pp. ms. notes.

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Contents of a folder so inscribed.89pp. ms. notes and 1p. 'Summary' headed 'Theory of groups. Mr. P. Hall. King's, Lent Term 1929'.

B.71: pp.1-45.

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Contents of a folder so inscribed.

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Contents of a folder so inscribed.B.75: Miscellaneous ms. notes, some titled.

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Contents of a folder so inscribed.B.78: Extensive ms. notes headed 'Kinds of definitions' and 'Other views on the Foundations of Mathematics'.

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Contents of a folder so inscribed. Pencilled note on folder reads: 'Cam. undergrad. 27-29'.B.80: Extensive sequence of notes, headed 'Chapter I' and 'Chapter II'.

B.81: 5pp. ms. notes and calculations.

B.82: Ms. notes and calculations, paginated 22-39.

B.83: Ms. notes and calculations, paginated 45-77.

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Contents of a folder so inscribed. These are probably notes originally made in Manchester as part of Davenport's degree course and later used at Cambridge.

`Double Integral over an area'.

See B.25

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Contents of a folder so inscribed. These are probably notes originally made in Manchester as part of Davenport's degree course and later used at Cambridge.B.86: 'Va Linear differential equations'. 43pp. sequence of ms. notes and calculations, variously sub-titled.

See B.25

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'A.P. Functions'.

Contents of a binder so inscribed.

'Almost periodic functions'.

Sequence of ms. notes and calculations, variously sub-titled.

'A.P. functions of a complex variable'.

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Two series of lecture notes, found together with note `Notes of lectures attended at Cambridge'.B.90: 'Summable series'.

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Hard-back binder so inscribed, containing typescript lecture notes from a course given by G.H. Hardy, Lent Term 1932.

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Series C, Lectures and addresses, is arranged into eight subseries. The first five are a chronological run: Cambridge, 1930s (C.1-4), Manchester, 1937-1941 (C.5-12), University College of North Wales, Bangor, 1941-1945 (C.13-16), University College, London, 1945-1957 (C.17-51), and Cambridge, 1958-1969 (C.52-97). The remaining three are Lectures abroad (C.98-129), Societies, conferences, etc. (C.130-158), and Miscellaneous and undated lectures (C.159-193).

The notes at C.13-16, University College of North Wales, Bangor, cannot be dated exactly, but all are from the 1941-1945 period. All are lecture notes, with no other teaching material.

The material at C.17-51, University College, London, 1945-1958, was probably all intended for teaching undergraduates, and many lecture drafts are accompanied by reading lists and in some cases by lists of students' names. There are not only finished drafts, both manuscript, but also notes and calculations. Only C.17-34 can be dated exactly. Items C41-51 were originally kept in an unlabelled binder. The material has been preserved in its original order but has been divided into folders for ease of reference. The numbers in the headings of e.g. C.46, C.47, C.48 probably refer to lectures from extended courses.

All of the material at C.52-97 Cambridge, 1958-69 was used for teaching, probably undergraduates and postgraduates. Several lectures include lists of problems to be attempted by the students (see especially C.62, C.97); it was Davenport's custom to hand these out at the beginning of a lecture course. Some lecture material also includes outlines of the topics to be covered, ms. notes and calculations, and drafts of earlier work, used in the production of the lecture.

Davenport made many visits abroad (see Mrs. Davenport's biographical notes at A.7). The material at C.98-129, Lectures Abroad, is from three universities with which he had particularly close connections: Stanford University, Göttingen and the University of Michigan. Visits to these institutions varied, up to a full academic year, and could involve teaching and examining as well as lecturing. C.98-107 Stanford University, California consists of papers related to Davenport's stay as a visiting professor in 1947-1948, having been invited by Gabor Szegö (see A.60), and his return in 1950. See also Memoir, p.162. Virtually all the material relating to the University Göttingen (C.108-114) is in German. Davenport had a good command of the language, and had made many German friends and colleagues, particularly among the refugees arriving in Cambridge in the 1930s. See Memoir, pp.161, 164. See also G.299-G.303 for material relating to Davenport's appointment and visit to Göttingen in 1966.

The material in the next subseries, Societies, Conferences, etc., C.130-C.158, consists mainly of drafts for lectures given at conferences and to societies, including undergraduate clubs. It does not however present a complete record of Davenport's many visits and conferences. C.152-156 contains material which cannot be accurately dated, and C.157-158 consist of invitations and programmes. Of particular interest is C.131, Davenport's address given at the prize day of his old school.

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Contents of a folder so inscribed, n.d.

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Contents of a folder so inscribed, n.d.

Extensive paginated ms. draft of a series of lectures while at Cambridge in the 1930s, probably a continuation of C.1.

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Extensive ms. draft of a series of lectures while at Cambridge in the 1930s.

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Extensive ms. draft of a series of lectures, from a folder so originally labelled.

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Duplicated examination paper 'Pure mathematics VIII', December 1940; ms. draft, including solutions to problems set.

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Duplicated examination paper 'Pure Mathematics VIII', March 1941; ms. draft, including solutions to problems set.

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6pp. draft of a lecture given while at Manchester 1937-1941.

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MS draft of course of lectures while at Manchester.

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MS draft of a lecture given at Manchester.

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MS draft, probably for a lecture, giving solutions to various problems and examples. Written while at Manchester.

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MS draft of a lecture, given while at Manchester.

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5pp. MS draft, probably of a lecture.11pp. miscellaneous MS drafts, variously titled.

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Ms. draft of a series of lectures, originally from a folder labelled `Bangor'.

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Ms. draft of a series of lectures given while at the University College of North Wales, Bangor.

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Ms. draft of a series of lectures given while at University College of North Wales, Bangor.

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Ms. draft of a series of lectures given while at University College of North Wales, Bangor.

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1p. ms. list of topics, probably for a course of lectures, dated 1945-46.'Ideas for the future', n.d.

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Ms. draft of a course of lectures given at University College, London, some pages dated January 1946.C.18: 9 topics, variously titled.

C.19: 4 topics, variously titled.

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6pp. ms. draft of an introductory lecture to first year undergraduates at University College, London, found with C.18-C.20.

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C.22: Ms. draft for a course of lectures at University College, London.

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'3rd yr Theory of Numbers. Supplementary to "Higher Arithmetic"', 1952-53. 2pp. ms. outline of a lecture course, giving dates of lectures, with 2pp. ms. notes and calculations.'Quadratic forms (supplementary to "Higher Arithmetic")'. 2pp. ms. notes and calculations.

'Theory of Numbers'. 1p. ms. list of students' names and addresses.

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Extensive typescript and ms. draft of course of 5 lectures.C.25: 1p. ms. list of the lectures; introductory remarks and lectures

C.26: Lectures 4 and 5. Folder also includes 'The fundamental theorem of algebra', given to the Bangor Mathematical Society, 4 December 1952.

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94pp. paginated typescript draft of a course of lectures, with 5pp. diagrams.

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5pp. ms. notes of introductory talk to undergraduate class at University College, London.

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C.31-32: Ms. draft, paginated [1]-66, of a course of lectures.C.33: Ms. draft, paginated 83-133.

C.34: 2pp. lists of signatures, probably of those attending the lecture course; 5pp. ms. notes.

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4pp. ms. draft, probably of first lecture of a course at University College, London.

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Contents of a folder inscribed 'G of N (UCL)'.G.36-39: Duplicated typescript with a few ms. corrections.

G.40: 2pp. list of topics headed 'Geometry of numbers', 1p. ms. note of 'Further topics'.

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Created while at University College, London. Material found in an unlabelled binder with C42-C51.

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Ms. draft for lecture while at University College, London. Material found in an unlabelled binder with C41-C51.

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32pp. ms. draft for lecture series; with 1p. ms. reading list.Folder includes 3pp. miscellaneous ms. notes and calculations.

Created while at University College, London.

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Material found in an unlabelled binder with C41-C51. 6pp. ms. draft of a lecture, with 1p. ms. reading list, created while at University College, London.

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Material found in an unlabelled binder with C41-C51.2pp. ms. list of lecture titles.

'Examples on number theory'. 6pp. ms. problems and solutions.

'Theory of numbers. Literature'. 1p. ms. reading list.

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Material found in an unlabelled binder with C41-C51.C.46: '5. Gauss's Sum'. 8pp. ms. draft of a lecture, probably one of a series. 'Higher power residues'. 4pp. ms. draft, probably unfinished, of a lecture. 1p. ms. notes outlining a course of lectures.

C.47: 'II Divisibility and the primes', 'III Congruences', 'IV Quadratic residues'. 3pp. ms. outlines of lectures. '5 (k/P) as a function of P'. 2pp. ms. draft.

C.48: '2. Gauss's lemma'. 2pp. ms. draft. '3. The law of quadratic reciprocity'. 3pp. ms. draft. '4 An algorithm for (a//p)'. 2pp. ms. draft.

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Created while at University College, London.Material found in an unlabelled binder with C41-C51.

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Material found in an unlabelled binder with C41-C51. Dates from Davenport's years at University College, London.

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Contents of a folder so inscribed.

'Analysis II 1959-60'.

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Contents of a folder so inscribed.'The Gamma Function'.

Published

78pp. ms. draft of course of lectures. C.55 includes 4pp. outlines of topics to be covered, 1p. list of students' names and 3pp. preliminary draft and notes.

Published

Shorter notes and calculations created while working at Cambridge, 1958-1969.

Published

10pp. draft, possibly of an optional lecture for the end of the course, on Cassels's theorem.Folder includes reprint of Bibliog. 111.

Published

46pp. ms. draft for course of lectures given while teaching at Cambridge University.

Published

Includes original folder, inscribed with calculations, created while working at Cambridge University, 1958-1969.

Published

83pp. ms. draft for lecture series, 1p. dated 1963.

C.65 includes 1p. ms. reading list.

Published

11pp. ms. draft; miscellaneous ms. notes and calculations. Created while working at Cambridge University, 1958-1969.

Published

10pp. ms. draft of a seminar paper, given 25 February 1964. Created while working at Cambridge University, 1958-1969.

Published

103pp. ms. draft for lecture course. Created while working at Cambridge University, 1958-1969.

Published

Miscellaneous shorter notes and drafts on topics to be covered. Created while working at Cambridge University, 1958-1969.

Published

9pp. ms. notes and calculations.

Also included here are 1p. ms. notes in an unidentified hand and reprints by K. Mahler.

Published

71pp. ms. draft for lecture course. C.73 includes 1p. list of pupils, October-December 1964. Created while working at Cambridge University, 1958-1969.

Published

Miscellaneous ms. notes and calculations. Created while working at Cambridge University, 1958-1969.

Published

6pp. ms. draft for lecture.

1p. typescript outline of lecture course, dated October 1964, with 1p. ms. list of topics to be covered in each lecture.

Published

5pp. ms. of questions, problems and examples.

2pp. typescript entitled 'Theory of numbers (Part II), 1964-65 Problems'.

2pp. typescript entitled 'Theory of numbers (Part II), 1964-5 Outline Solutions'.

Published

10pp. ms. draft for seminar paper. Created while working at Cambridge University, 1958-1969.

Published

21pp. draft for lecture, with 1p. ms. calculations. Created while working at Cambridge University, 1958-1969.

Published

119pp. ms. draft for lecture course. Created while working at Cambridge University, 1958-1969.

Published

Miscellaneous ms. notes and calculations, including 4pp. paginated sequence re paper by B.J. Birch. Created while working at Cambridge University, 1958-1969.

Published

'Waring's problem'. Ms. draft, probably for lecture, paginated 4-23.

Published

'Mordell's finite basis theorem'. 6pp. ms. draft for lecture, with 3pp. ms. notes and calculations.

Published

60pp. ms. draft for course of 3 lectures from folder labelled as above.C.86: 'Waring's problem'. The first page of this lecture was used as the cover illustration of the 5th edition of Davenport's The Higher Arithmetic (1982), although the text does not appear elsewhere in the book.

C.87: 'The Hardy-Littlewood method'.

C.88: 'The Asymptotic formula: Vinogradov'. Includes 5pp. alternative version.

See D.89-D.92, 'The higher arithmetic'.

Published

95pp. ms. draft for course of lectures.

Published

11pp. ms. draft for lecture, probably a continuation of 'last term's course on the distribution of primes' (C.89-C.91).

Published

69pp. ms. draft for lecture course.

Published

Miscellaneous ms. notes and calculations. Created while working at Cambridge University, 1958-1969.

Published

3pp. ms. list, possibly to accompany a course of lectures. Created while working at Cambridge University, 1958-1969.

Published

'Davenport: Theory of Numbers', n.d. Two typescript drafts, 3pp. and 2pp., of list of problems.

'Davenport: Geometry of Numbers', n.d. Two typescript drafts, 3pp. and 2pp., of list of problems.

Published

Lecture and teaching material, from an envelope so inscribed.C.98: 27pp. ms. draft for course of lectures, variously sub-titled.

C.99: 13pp. ms. draft for course of lectures, variously sub-titled, with 1p. ms. calculations.

Published

2 ms. drafts for lecture, 8pp. and 5pp. Created while at Stanford University, California, 1947-48, 1950.

Published

C.101: 'Sylow's Theorem', 9pp. ms. draft. 'Theory of groups', 5pp. ms. draft.C.102: 1p. ms. 'Groups Literature'; 1p. ms. 'Group Theory. Outline of Course'; 3pp. ms. 'Examples on groups'; etc.

Published

Papers

Published

Summer Quarter

67pp. typescript notes made by G. Hedrick.

Published

Contents of an envelope so inscribed.C.105: 'Analytic Theory of Numbers'. Ms. draft of a course of lectures, variously sub-titled.

C.106: 'Additive number-theory'. Ms. draft for course of lectures, with note on first page 'Analytic number theory ctd.'.

C.107: 'The Hardy-Littlewood method'. 22pp. ms. draft for lecture.

Published

Correspondence with C.L. Siegel, re invitation to give a talk to the 'Mathematische Gesellschaft'. Davenport chose as his subject 'Simultaneous Diophantine Approximation'.

See also: G.299-303, Correspondence, Siegel, C. L.

Published

Lectures delivered May-August 1966, originally found together in an envelope labelled 'Lectures Göttingen'. All are in German.

Published

Lectures delivered May-August 1966, originally found together in an envelope labelled 'Lectures Göttingen'. All are in German.

Published

Lectures delivered May-August 1966, originally found together in an envelope labelled 'Lectures Göttingen'. All are in German.

Published

Lectures delivered May-August 1966, originally found together in an envelope labelled `Lectures Göttingen'. All are in German.

Published

Lectures delivered May-August 1966, originally found together in an envelope labelled 'Lectures Göttingen'. All are in German.

Published

1p. ms. list of topics, probably for lectures given in 1966.

Published

'Analytic methods for Diophantine equations and Diophantine inequalities', 1963.

Bound photocopy of a course of lectures given at Michigan in the Fall Semester, 1962.

Published

Contents of a folder so inscribed.C.116: 'Analytic methods for Diophantine equations and inequalities'. 26pp. ms. draft.

C.117: 'Goldbach's Problem'. 16pp. ms. draft.

C.118: 'Vinogradov's result on sums of 3 primes'. 16pp. ms. draft.

C.119-121: Variously titled and paginated shorter ms. drafts.

C.122: Untitled ms. draft paginated 24-40A.

C.123: Questions papers, etc.

Published

Extensive ms. notes and calculations, originally found in a folder so inscribed. Created while at the University of Michigan, 1962-1968.

Published

C.126: 'Diophantine approximation: an introductory survey'. 15pp. duplicated typescript with ms. corrections.C.127: 'Badly approximable numbers'. 11pp. duplicated typescript with ms. corrections.

C.128: 'Dirichlet's theorem'. 17pp. duplicated typescript with ms. corrections.

C.129: 'A problem of Diophantus'. 15pp. photocopy of ms. draft.

Published

19pp. duplicated typescript draft (in French); two programmes of lectures, April-May 1946, of Institut des Hautes Études de Belgique.

Published

8pp. ms. draft and 1p. notes; letter from headmaster, 20 March 1947, re arrangements; programme.

See also A.25, Accrington Grammar School prize day

Published

Presidential address to the Mathematical and Physical Society, University College, London, 29 October 1948.

Davenport was on the London Mathematical Society committee set up to edit Hardy's papers, and did much work for it

Published

G.133: 4pp. untitled ms. draft of a lecture, delivered in 1948. 7pp. ms. draft and notes for a talk to an unnamed society re Hardy's Collected Papers, n.d. 11pp. ms. draft and notes, partially paginated, for a talk to an unnamed undergraduate society re Hardy's career and publications, n.d.

See D.200, Biographical article on G. H. Hardy, and Memoir, p.165

Published

(H.J.S. Smith), Invariant Society, Oxford, 3 May 1950.

Published

14pp. ms. draft of version delivered to British Mathematical Colloquium, Greenwich, July 1952.

Published

7pp. ms. draft of version delivered to Oxford Mathematical Society, 3 March 1954.

4pp. ms. draft and notes re Diophantine approximation.

Published

2pp. ms. only.

Published

41pp. typescript draft for lecture (in French).

Published

St. Andrews, September 1956.

Published

Lecture to the theory of numbers group at the British Mathematical Colloquium, Nottingham

Published

'Analytical number theory', ?1958

4pp. ms. notes also headed 'Edinburgh ¼ hour', for short talk at International Congress of Mathematics, August 1958.

'The nature of mathematics', 1958.

See also D.121, 'The work of the Fields medallists. Dr. K. F. Roth'

Published

New Pythagoreans, 21 January 1959.

Published

Given at dinner of Mathematical and Physical Society, University College London, 5 March 1959.

See also C.160, 'G of N lectures': 'General Functions'.

Published

Duplicated typescript drafts; letter of thanks from P. Dubreil, 20 July 1959.

Published

4pp. and 8pp. ms. drafts for talk given in the centenary year of Dirichlet's death; 1p. ms. notes made by Davenport from talk given by Kummer in 1860.

Published

Lecture delivered at the British Mathematical Colloquium, Southampton

Published

Davenport gave 3 lectures during his visit and worked with A. Schinzel.

Conference at Oberwolfach, 1-5 April 1963 (after Polish visit).

Published

Lecture to the Tensor Club

Published

'Report on visit to the University of Vienna', 6-19 April 1964.

1p. ms. draft.

'Diophantische Gleichungen in mehreren Unbekannten', 15 April 1964, given during visit to Vienna.

Published

Bound copy of lecture; 3pp. ms. notes entitled `Brighton', found with it.

Published

C.152: 'Packing and covering by spheres'. 2 ms. drafts, both 7pp., of a talk, one labelled 'copies Harvard lecture'. 'Problems of packing and covering'. 9pp. typescript draft, perhaps a later version related to Bibliog. 160.C.153: 'Simultaneous Diophantine approximation'. 2 ms. drafts, both 4pp. 5pp. typescript draft, with ms. corrections, of 'Congress lecture'.

C.154: 'Kongruenzen vom additiven Typ'. 12pp. ms. draft.

C.155: 'The large sieve inequality'. 12pp. ms. draft of 'Lecture delivered somewhere'.

Published

C.157: Announcements of 2 London Mathematical Society lectures delivered by Davenport, 1946 and 1968. Programme of the Mathematical Association, 1949-50.

Published

12pp. ms. draft, probably of a lecture, with 1p. ms. diagram.

Published

Delivered to the Mathematical and Physical Society, University College London

See also C.144, Speech, 1959.

Published

Delivered to the 'Archimedeans', (a Cambridge undergraduate society)

Published

7pp. ms. draft for speech.

Published

9pp. ms. draft of and notes for a talk.

Published

Probably given on appointment as Astor Professor of Mathematics, University College, London, 1945.

Published

Delivered to the A.M.A., Berkeley

Published

Lecture delivered at Berkeley

Published

Ms. notes made by C.A. Rogers from Davenport's lectures at University College, London, 1946, with 'an informal account of the meetings of a seminar held at University College, and includes a summary of the discussion of the various lectures'.

Published

Delivered at Cambridge seminar

Published

18pp. typescript draft for lecture, with ms. corrections (in French).

Published

22pp. ms. draft for lecture, an English version (probably earlier) of C.169.

Published

57pp. typescript draft, with ms. corrections, for course of lectures

Published

12pp. ms. draft for lecture.

Published

'Solved and unsolved problems of mathematics'.

2 ms. drafts, 6pp. and 5pp., of a talk.

'Some unsolved problems'.

12pp. ms. draft of a talk.

'Solved and unsolved problems'.

Published

17pp. ms. draft of and notes and calculations for a talk.

Published

19pp. ms. draft for lecture.

Published

10pp. ms. draft for lecture; 3pp. ms. calculations.

Published

1p. ms. outline of course of 5 lectures.

Published

21pp. miscellaneous ms. notes and calculations.

Published

11pp. ms. notes for 3 lectures.

Published

9pp. ms. notes and calculations.

Published

9pp. untitled ms. draft of a lecture re 'some of the most important applications of analysis to the theory of numbers'.

Published

C.182: 2pp. miscellaneous ms. notes and calculations. 6pp. ms. notes and calculations headed '5. The coefficients in a period of forms'.C.183: 4pp. ms. draft headed 'The reduction of a pair of linear forms'. 2pp. ms. notes and calculations. Reprint of Bibliog. 75.

C.184: 5pp. ms. draft headed 'Representation of numbers as sums of squares'. 2pp. miscellaneous ms. calculations.

C.185: 5pp. paginated sequence of ms. notes and calculations. 3pp. sequence of ms. notes and calculations. 6pp. miscellaneous ms. notes and calculations.

C.186: 6pp. miscellaneous ms. draft and calculations. 3pp. ms. draft headed 'Chapter 6. Characters'. 5pp. miscellaneous ms. notes and calculations.

C.187: 'Zeta-function and L-functions'. 19pp. ms. draft.

C.188: 'Cyclotomy'. 13pp. ms. draft and calculations.

C.189: 5pp. sequence of ms. notes. 5pp. ms. draft and notes headed 'The Riemann-Zeta function'. 5pp. ms. draft and notes headed 'Alternative treatment of the Zeta-function'.

C.190: 6pp. miscellaneous ms. notes and calculations. 2pp. ms. draft headed 'The prime-number theorem'. 1p. ms. calculations. 5pp. sequence of notes.

C.191: 'Geometry of numbers'. 15pp. ms. draft.

C.192: 'Algebraic numbers'. 17pp. ms. draft.

See also: D.170-182, 'Multiplicative number theory'

Published

Davenport published nearly 200 papers and three books. Most of the material in this series consists of drafts of the published papers, frequently without any other material such as notes or calculations. In some cases, however, these do survive and in others there is more than one draft. Some correspondence is included here, as at D.112-116.

The series incorporates material of other kinds, such as the Adams Prize Essay (D.5-15), the books *The higher arithmetic* (D.89-92) and *Multiplicative number theory* (D.170-182), reviews by Davenport (D.208), and some unpublished material, such as 'On writing mathematical papers' (D.201-203).

The Adams Prize Essay materials include material published in various papers, 1938-1946 (including D.2-4), and consists of early drafts of certain chapters (D.5-6), the whole text, probably as submitted to the judges (D.8-14) and a little correspondence.

Material published after Davenport's death can be found at D.204-207, and his 'collected works' are represented at D.210-213.

For additional correspondence and material exchanged with collaborators in publications, see the relevant entries in Section G and also E 1 - E 15 (work with H. Hasse).

Published

(Bibliog. 5).

Published

(Bibliog.25).

Published

(Bibliog. 26)

Published

(Bibliog. 35).

Published

D.5: Early ms. drafts of various chapters of the essay, found together in an unlabelled folder: 2 ms. drafts, 3pp. and 5pp. for 'Chapter VI On a conjecture of Mordell', and 9pp. ms. draft and calculations for 'Chapter VII Minkowski's conjecture and Remak's theorem'.D.6: Early ms. drafts of various chapters of the essay, found together in an unlabelled folder: 9pp. ms. draft headed 'W.P.', and

2pp. ms. draft for 'Chapter VI On sums of pos. & neg. 4th powers'.

D.7: 1p. ms. 'Contents of Essay'; 3pp. typescript abstract dated 31 December 1940.

D.8-11: Ms., typescript and printed text of the essay: 'Part One. On the Geometry of Numbers' Introduction, Chapters I-VII, in 4 folders. As the material for many chapters had already been published, much of the essay was presented in the form of pages from the printed texts pasted onto file paper. Originally found in two ring-binders, the material has been divided into folders for ease of reference.

D.12-14: Ms., typescript and printed text of the essay: 'Part Two. On Waring's problem'. Introduction, Chapters I-VII, in 3 folders. As the material for many chapters had already been published, much of the essay was presented in the form of pages from the printed texts pasted onto file paper. Originally found in two ring-binders, the material has been divided into folders for ease of reference.

See also: A.51, Letter of congratulation on award of Adams Prize of University of Cambridge

Published

(Bibliog. 36).

Published

(Bibliog. 32).

Published

(Bibliog. 39).

Published

(Bibliog. 40).

Published

(Bibliog. 34).D.20: 4pp. ms. notes.

D.21: 18pp. ms. draft.

Published

(Bibliog. 37).

Published

(Bibliog. 41).D.24: 4 ms. drafts, 6pp., 7pp., 10pp. and 11pp.

Published

(Bibliog. 42).D.26: Ms. draft paginated 1-45 (p.24 missing).

Published

(Bibliog. 43).

Published

(Bibliog. 45).

Published

(Bibliog. 46).

Published

(Bibliog. 44).

Published

(Bibliog. 47).

Published

(Bibliog. 48).

Published

(Bibliog. 49).

Published

(Bibliog. 50).

Published

(Bibliog. 51).

Published

'Theory of Numbers', 1946-47.

Davenport was approached, initially by E.A. Milne, to write a book on this subject as one of a series of mathematical works for the interested layman. The book was published in 1952 as 'The higher arithmetic'.

4 letters from E. A. Milne, 1946, outlining the proposed series, the level of mathematics to be aimed for and the publishers' terms.

Letter from Hutchinson & Co., publishers, 1947, enquiring re Davenport's progress, with his reply apologising for the delay, due to pressure of work.

'The Natural Numbers'.

5pp. typescript draft, probably of introduction to the book.

See D.89-D.92, 'The higher arithmetic'.

Published

(Bibliog. 52).

Published

(Bibliog. 55).

Letter to Heilbronn, 27 June 1946, re modification to a proof.

5pp. untitled ms. draft, partially paginated, labelled '55A'.

Published

(Bibliog. 57).

Published

(Bibliog. 58).

Published

(Bibliog. 59).

Published

(Bibliog. 60).

Published

(Bibliog. 61).

Published

(Bibliog. 62).

Published

(Bibliog. 64).

Published

(Bibliog 66).Item 47: 11pp. ms. notes and calculations, 1p. labelled 'Prelim to 66'.

Published

(Bibliog. 67).

Published

(Bibliog. 63).

Published

(Bibliog. 71).

Published

(Bibliog. 72).

Published

(Bibliog. 56)

Published

(Bibliog. 69).

Published

(Unpublished).

Published

(Bibliog. 73).

Published

(Bibliog. 73).

Published

(Bibliog. 68).

Published

(Bibliog.70).

Published

Bibliog. 74D.60: 'A Theorem proving the existence of an Euclid's Algorithm in certain real quadratic fields', by P. Varnavides. 9pp. ms. draft, with letter, 18 May 1948, re publication of paper, and 'On the Euclidean algorithm in quadratic number fields', by H. Chatland. 4pp. typescript draft, with letter, 28 May 1949, re queries made by Davenport.

D.61: 3pp. ms. notes and calculations. 4pp. ms. draft entitled '3. Proof of the Theorem'. 'The field k (√193), 5pp. typescript draft, labelled 'sent to Chatland as a model for the calculation in 74'.

Published

(Bibliog. 76).

Published

(Bibliog. 77).Item 64: 13pp. ms. draft, labelled 'prelim to 77'.

Item 65: 11pp. and 6pp. ms. drafts, both labelled 'prelim to 77'.

Published

(Bibliog. 79).

Published

(Bibliog. 81).

Published

(Bibliog. 82).

Published

(Bibliog. 83).

Published

(Bibliog. 84).

Published

(Bibliog. 85).

Published

(Bibliog. 87).

Published

(Bibliog. 91).Item 74: 5pp. ms. draft with 3pp. ms. notes; 15pp. ms. draft labelled 'Second draft (used at lecture)' and 'Congress lecture'.

Published

(Bibliog. 88).

Published

(Bibliog. 89).

Published

(Bibliog. 90).

Published

(Bibliog. 92).

Published

(Bibliog. 96).

Published

(Bibliog. 98).

Published

(Bibliog. 93).

Published

(Bibliog. 94).

Published

(Bibliog. 95).

Published

(Bibliog. 97).

Published

(Bibliog. 99).

Published

(Bibliog. 100).

Published

(Bibliog. 101).

Published

D.89: 'Old material for book': Contents of a folder so inscribed, consisting of extensive ms. notes and drafts kept in their original order. Continuous sequences have been clipped together for ease of reference. Some material probably dates from 1947. Professor B. J. Birch has contributed (February 1986) the following explanatory note: 'All of this can be regarded as material for his book on "Higher Arithmetic", though only a small proportion of these notes survived into the printed version. Probably the material was "tested" in lectures at UCL (and maybe Bangor).'D.90: Correspondence. Correspondence with Hutchinson's University Library, publishers, and correspondence with reviewers, L. Schoenfeld and P. T. Bateman, 1953, with 1p. ms. note of where reviews appeared.

See also D.37, 'Theory of numbers', and C.86, 'Cambridge Lectures (additive)', for cover illustration of fifth edition.

Published

(Bibliog. 103).

Published

(Bibliog. 104).

Published

Davenport was responsible for the founding of this journal (see Memoir, p.164), and remained an editor throughout his life. The first issue contained 2 papers by him (Bibliog. 103 and 104).

Published

(Bibliog. 106).

Published

(Bibliog. 105).D.97: 15pp. ms. draft.

Published

(Bibliog. 107).D.99: 2 letters from H. P. F. Swinnerton-Dyer, 1954, re publication of paper, with 2pp. ms. notes and calculations entitled 'n = 5, r = 1, s = 2', and labelled 'e 107'.

D.100: 33pp. untitled ms. draft (Swinnerton-Dyer's hand), labelled 'first version'.

D.101: 44pp. typescript draft with ms. corrections.

Published

(Bibliog. 108).

Published

(Bibliog. 109).

Published

(Bibliog. 110).

Published

(Bibliog. 112).

Published

(Bibliog. 113).

Published

(Bibliog. 114).D.107: 34pp. ms. draft.

Published

(Bibliog. 118).

See also D.112-D.120, Correspondence with B. J. Birch, re joint papers.

Published

(Bibliog. 119).D.110: 6pp. ms. draft (in Birch's hand), entitled 'Davenport's version of "A theorem of Davenport & Heilbronn"' and 19pp. ms. draft (in Davenport's hand), labelled 'superseded'.

See also D.112-D.120 Correspondence with B. J. Birch, re joint papers .

Published

(Bibliog. 118 and 119)

Since Davenport collaborated with Birch on these two papers published in 1958, and as an accurate division of this material between them would be impossible, it has been arranged in a single chronological sequence.

D.112: June, July 1957

D.113: August 1957

D.114: September-December 1957

D.115: January, February 1958

D.116: March-July 1958

D.117: 2 ms. drafts, 5pp. and 11pp.

D.118: 2 ms. drafts on same subject, 7pp. (with 4pp. ms. notes) and 6pp.

D.119: Miscellaneous ms. notes, drafts and calculations

Published

(Bibliog. 121).

See also: C142, Lectures and addresses

Published

(Bibliog. 116).D.122: 74pp. ms. draft.

D.123-124: 2 copies of 75pp. typescript draft, both with different ms. corrections.

D.125: 25pp. ms. draft, paginated 73-97, and headed '8 Synthesis'.

D.126: 14pp. ms. draft headed 'Cubic Forms. "Absolute" lemmas'.

(D.127, D.128 are the contents of a folder inscribed 'Cubic forms (old) historical interest'.)

D.127: 1p. ms. notes headed 'History of cubic forms in 32 (later 16) variables'; 26pp. ms. draft headed 'B. Certain exponential sums'.

Published

(Bibliog. 120).D.129: 8pp. ms. and typescript draft and notes, partially paginated, including 1p. in another hand.

D.130: 26pp. ms. draft.

Published

(Bibliog. 123).

Published

(Bibliog. 125).

Published

(Bibliog. 127).

Published

(Bibliog. 124).D.135: 29pp. ms. draft.

Published

(Bibliog. 126).

Published

(Bibliog. 129).

Published

(Bibliog. 130).

Published

(Bibliog. 131).D.140: 13pp. ms. draft.

Published

(Bibliog. 133).

Published

(Bibliog. 135).

Published

(Bibliog. 134).

Published

(Bibliog. 136).D.145: 2 typescript drafts with ms. corrections, 9pp. and 12pp.

Published

(Bibliog. 137).

Published

(Bibliog. 138).

Published

(Bibliog. 140).

Published

(Bibliog. 144).

Published

(Bibliog. 146).D.151: 13pp. ms. draft; 12pp. typescript draft with ms. corrections.

Published

(Bibliog. 148).

Published

(Bibliog. 153).D.154: 8pp. heavily-corrected ms. draft, and photocopy of original version without corrections.

Published

6pp. ms. draft with 2pp. ms. notes, labelled 'Early version, eventually published as 159'.

Published

7pp. untitled ms. draft, labelled 'm/s of 158 (first folio missing)'

Published

(Bibliog. 162).

Published

(Bibliog. 163).

Published

(Bibliog. 165).

Published

(Bibliog. 167).

Published

(Bibliog. 169).

Published

(Bibliog. 171).

Published

(Bibliog. 166).D.164: Correspondence, chiefly with A. Schinzel, re paper, November 1965-October 1966.

D.165: Miscellaneous ms. notes and drafts.

D.166: 'A problem connected with Diophantine approximation', 6pp. ms. draft, and 'Diophantine approximation and roots of unity',

8pp. ms. draft.

D.167: 21pp. ms. draft with corrections, labelled 'Version of 166'.

D.168: 15pp. ms. draft with corrections.

Published

The book 'contains an extremely readable account of the analytic approach to the theory of the distribution of primes in arithmetic progressions' (Memoir, p.167). Davenport submitted a revised ms. in 1969 but the second edition (revised by H.L. Montgomery) did not appear until 1980.

170-174: 238pp. ms. draft with corrections. 170 includes covering note from publisher, August 1967, returning `dead' material (now at D.170-D.177).

175: 4pp. typescript index with ms. corrections.

176-177: Corrected proofs.

For related material see C.182-193, 'Misc. math.'

Published

(Bibliog. 172).

For correspondence and further drafts see G.37, Bombieri, E. and others

Published

(Bibliog. 174). This paper was published in a memorial volume to Landau; the work had actually been done in 1935.D.184: Ms. notes and calculations, including 2 paginated sequences, 5pp. and 4pp. 6pp. notes by Landau.

Published

(Bibliog. 175).D.186: Extensive ms. drafts and calculations.

Published

(Bibliog. 177).

Published

(Bibliog. 180).D.189: 23pp. ms. draft 'Note on the Thue-Siegel Theorem'.

D.190: 3pp. ms. draft on 'Siegal's Theorem'.

D.191: 6pp. and 11pp. drafts and calculations on 'Thue's Theorem'.

D.192: 26pp. ms. draft.

Published

(Bibliog. 181).D.194: 23pp. ms. draft.

For correspondence re paper see G.38, Bombieri, E. and others.

Published

Contents of a folder so inscribed.D.196: Three letters from Davenport to A. Baker, July, September 1967, re material for joint paper published in 1969 (Bibliog. 182).

(Information from Professor B.J. Birch, February 1986.)

Published

(Bibliog. 183).

Published

(Bibliog. 184).

Published

Biographical article on G.H. Hardy commissioned by 'The Encyclopedia Americana'

See C.133, C.134 for Davenport's lecture material on Hardy.

Published

(Unpublished).D.201: Correspondence, 1966, 1969; 2pp. ms. notes.

D.202: (Unpublished). Background material (printed matter).

Published

(Bibliog. 186).

Published

(Bibliog. 194).

Published

(Bibliog. 195).

Published

'Trigonometrical polynomials', published as 'The zeros of trigonometrical polynomials', Mathematika, 19, 1972, 88-90, with the footnote:

'This note has been prepared for publication by Professor H. Halberstam from a draft manuscript sent to him in 1967 by the late Professor Davenport in the course of a correspondence on the large sieve inequality; specifically, Halberstam had asked Davenport whether the inequality might not have some applications in the theory of trigonometrical polynomials and the note came in reply to this query.'

3pp. ms. note by Davenport; letter from Halberstam returning it to him, March 1968.

Published

Arranged in chronological sequence by date of the publication of the work reviewed.

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Published

210: Correspondence between the editors and with other colleagues, 1969, 1970211: Correspondence between the editors and with other colleagues, 1974

212: Correspondence between the editors and with other colleagues, 1975

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This series has been organized into five subgroups: Collaboration with Helmut Hasse (E.1-15), Titled and untitled drafts (E.16-83), Miscellaneous notes and calculations (E.84-102), Notes on work by others (E.103-126), and Work by others (E.127-135).

Many of the drafts in Titled and untitled drafts were probably intended to form lectures or papers for publication, while others may be no more than extensive notes. A number of these are untitled and very few are dated.

The Notes on work by others falls into two parts: notes made by Davenport at lectures given by others (E.103-E.117) and notes made by him on a particular publication, or line of work, of another (E.118-E.126) Although in many cases Davenport gave the date of publication of the work, few of these notes are themselves dated. Therefore they have been arranged in alphabetical order, with the exception of E.125-126, where the contents of one of Davenport's own folders have been kept together.

Published

Most of the material here is Hasse's work but there is some correspondence and a draft for a further collaborative paper.E.1-2: Letters from Hasse, May 1933-November 1935, chiefly concerning the joint paper, mostly in English.

E.3: 'Gaussian sums in finite fields', by H. Davenport and H. Hasse. 12pp. typescript and ms. draft with ms. corrections.

E.4-5: Miscellaneous ms. notes and calculations by Hasse, in English and German. E.4 includes sets of notes dated 28 September 1933 and 10 December 1935.

E.6: 7pp. ms. draft, in German, by Hasse.

Davenport's other collaborators are represented in Sections D and G.

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Published

2pp. ms. with covering note to L.J. Mordell. Folder also includes 2 additional, untitled drafts, each 3pp.

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4pp. ms., and 8pp. ms. labelled 'Revised version 17.10.43'.

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Continuation of E.18. 6pp. ms. with 1p. ms. calculations. Folder also includes 3pp. ms. notes, found with above, entitled '5 4-th powers'.

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Published

2pp. ms., with 2pp. ms. entitled 'M. Hall. Difference sets', dated 9 May 1956.

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7pp. ms.

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4pp. ms.

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Published

3pp. ms. with 1p. ms. notes.

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9pp. typescript, with 1p. ms. notes.

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18pp. ms., with 1p. ms. notes.

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2pp. ms. with 3pp. ms. notes and calculations.

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4pp. ms., with 10pp. untitled ms. draft and notes.

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6pp. ms.

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Published

10pp. ms. with reprint of paper presented by P. Turán and 6pp. ms. notes and calculations.

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6pp. ms.

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10pp. ms., with bibliography.

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13pp. ms.

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9pp. ms.

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3pp. ms., found in an envelope labelled '185? Dirichlet Rome vol. to appear', possibly an early draft for Bibliog. 185.

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7pp. ms.

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'Notes on Littlewood's Problem', 3pp. ms. with 4pp. ms. calculations. 'Littlewood's Problem', 2pp. ms. Included here is a further ms. draft, with notes, of the same title, and 3pp. draft on 'The distribution of certain fractional parts'.

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6pp. ms. with 1p. ms. notes.

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5pp. ms.

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10pp. ms., with 6pp. notes.

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3pp. ms.

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6pp. ms.

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2pp. ms.

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21pp. ms., with 4pp. ms. notes.

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4pp. ms.

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3pp. ms.

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2pp. ms.

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11p. ms.

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4pp. ms.

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5pp. ms.

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3pp. ms.

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11pp. ms., with 10pp. ms. notes.

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5pp. ms., with a ms. note 'Birch'.

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2pp. ms., with 5pp. ms. notes and calculations.

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4pp. ms.

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1p. ms., paginated '102'.

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13pp. ms., variously paginated, possibly connected with Bibliog. 176.

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2pp. ms., in German.

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3pp. ms.

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Shorter ms. drafts (some photocopies), with a ms. note 'copies sent to Don' (D.J. Lewis), kept together. All bear titles and most are paginated.

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Consisting of a sequence of unpaginated ms. drafts, possibly for a course of lectures, with some ms. notes. These have been divided into separate folders for ease of reference, and kept in their original order.E.63: 15pp. ms. 'Various expansions and summations'; 8pp. ms. 'Analytic continuation'.

E.64: 14pp. ms. 'The gamma function'; 22pp. ms. 'Elliptic functions'.

Published

Contents of a binder so inscribed, consisting of miscellaneous ms. drafts, notes and calculations. Some with titles. These have been divided into folders for ease of reference, and kept in their original order.E.66: 2pp. untitled (in another hand); 6pp. 'Hermite's process of continued reduction'; 5pp. miscellaneous notes and calculations; 9pp. 'Cassels S.D.A.'.

E.67: 3pp. untitled; 2pp. re '3 k-th powers', with covering note; 8pp. (in another hand) 'Markoff numbers'; 9pp. 'Quadratic and higher residues'; 6pp. tables.

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Miscellaneous bibliographies, including 2 with titles: 'Waring etc. in Math. Rev.' and 'Sieve methods'.

Published

Miscellaneous ms. lists of 'problems', probably intended to accompany undergraduate lecture courses.

Published

With the exception of E.71 and E.72, which contain typescripts, all the material here consists of ms. drafts without dates or titles. In view of the scantiness of the information available, no attempt has been made to describe these drafts in detail.

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Untitled notebook, with a few pages used at each end, containing miscellaneous ms. notes and calculations. 1 p. headed 'Numeri Abundantes'.

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3 exercise books, labelled 'Cassels 1', 'Cassels 2' and 'Cassels 3', containing notes and calculations.

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Exercise book, labelled 'Math.', containing miscellaneous ms. calculations.

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4 pp. MS, chiefly calculations, with 2 pp. MS calculations re article by Dickson.

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12 pp. MS notes and calculations; 2 MS tables entitled 'Properly primitive ternary forms'.

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2 pp. MS notes with 3 pp. MS calculations.

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2 pp. MS notes.

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Published

Due to the dearth of information on these notes and calculations, no attempt has been made to describe them in detail. Groups of notes have been kept together; E.102 contains miscellaneous single sheets. E.98 consists of 8 folders, and contains material cleared from Davenport's office desk after his death (this information from Professor B. J. Birch, February 1986).

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MS notes.

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Published

Published

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Published

Published

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Papers

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Included here is Mrs. Davenport's list of contents of material now at E.103-E.117.

Published

2 letters from A. Brauer, 1932, to Blichfeldt.'Remarks on work of Blichfeldt', n.d. (c.1947-50).

2pp. ms. notes by Davenport.

4pp. miscellaneous ms. notes on Blichfeldt, made by Davenport, n.d. (c.1947-50).

'Various topics in the theory of numbers', 1953-54.

See also C.27-C.29, 'Various topics in the theory of numbers'.

Published

Ms. notes, some dated 1920-22, not in Davenport's hand.

See also C.27-C.29 'Various topics in the theory of numbers'.

Published

3pp. ms. on paper published by Brauer in 1945.

Published

8pp. ms. draft and 1p. ms. calculations.

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4pp. ms. 'Pólya's Problem in Amer. Math Monthly', n.d.

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'Rademacher. Riemann -von Mangoldt Theorem', 7 July 1959. 5pp. ms.

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'J.M. Vinogradov. On a general theorem concerning the distribution of the residues and non-residues of powers', n.d. 6pp. ms. on paper published by Vinogradov in 1927.

Published

Contents of a folder so inscribed.

E.125: Ms. notes on various topics made from Hardy-Littlewood. Ms. notes on work by Hecke, including 'Über analytische funktionen und Verteilung von Zahlen mod eins' (published 1921). Ms. notes on Lerche's formula.

Published

14pp. typescript.

Published

'Research Problems', by H.T. Croft, August 1967. 'This set of problems went through various editions, and was published (in collaboration with R.K. Guy) in c1983, under the title "Unsolved Problems in Intuitive Mathematics"'. (Information from Professor B.J. Birch, February 1986.) 28pp. duplicated typescript.

Published

Published in 1932 as The distribution of prime numbers.E.129: `The Theory of the Distribution of Primes. Chapter I'

Published

'Research Problems', by J.E. Littlewood, n.d. Duplicated manuscript; 4pp. introductory material beginning 'This is for "Family" reading, aimed at present and former pupils ...' explaining purpose and history of selection of problems; 26pp. list of problems.

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Published

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Published

This series consists of committee notices and reports, with some correspondence and examination papers as well. The papers are arranged into six subgroups: General committees (F.1-6), Needs of faculty and sub-departments (F.7-9), Appointments (F.10-12), Requests for post-graduate places (F.13), Examination papers (F.14-16), and Miscellaneous (F.17). The Needs of faculty and sub-departments papers largely consist of Statements of Needs of various departments, in various areas, such as teaching staff, new equipment, etc. The Appointments material relates to the Appointments Committee of the Faculty of Mathematics. There is also a little correspondence re vacant posts, applications, requests for curricula vitae, etc.

See A.61-67 for papers relating to his work as Rouse Ball Chair of Mathematics, University of Cambridge.

Published

Notices of meetings, agendas, minutes and reports, arranged in chronological order.

Published

Notices of meetings, agendas, minutes and reports, arranged in chronological order.

Published

Notices of meetings, agendas, minutes and reports, arranged in chronological order.

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Notice of meeting and proposals for lecture list.

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Correspondence and committee minutes, mainly re newly-created Department of Applied Mathematics and Theoretical Physics (D.A.M.T.P.).

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Notes and correspondence re affairs of D.A.M.T.P.

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Published

Published

Published

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Published

1964, 1965 only.

In alphabetical order

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2pp. untitled ms. list of examination questions

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2pp. ms. list of examination questions, with covering letter from J.W.S. Cassels, re suitability of one question.

Published

1964 Papers I - VI

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Shorter items, 1964, 1966 and n.d.

Published

The correspondence includes several substantial exchanges of letters, however, many of them are incoming only, sometimes with a brief ms. note by Davenport of his reply on which ensuing correspondence may be based. Mrs. Davenport's notes identifying correspondents and their connections with Davenport often accompany the letters and were drawn upon in compiling the entries.

The content is essentially mathematical though some personal news from Davenport's long-term friends, colleagues and pupils may be included. Davenport's long association with German mathematicians, many of whom became refugees in British universities including Cambridge, is well documented; these are wholly or partly in German. Of special interest are the extensive exchanges with E. Bombieri, G. H. Hardy, H. A. Heilbronn, K. Mahler and L. J. Mordell.

Published

Mathematical puzzles on integers.

Published

Inequalities.

A research student of Davenport at Stanford 1947-48, later at Princeton and M.I.T.

Published

Mainly on number theory.

Published

11pp. 'Notes on a *Sunday Times* brain teaser'.

A research student of Davenport, later at King's College, London, and Durham.

Published

General correspondence on research, appointments, publications.G.5: 1955-57

G.6: 1958-61

Published

Published

Bambah, an Indian mathematician, studied with Davenport in London and published a collaborative paper with him in 1952.

Published

Arrangements for Bambah's Fellowship at St. John's College, Cambridge; includes list of publications and draft paper on `Four Squares'.G.10: 1950-53

G.11: 1954

Published

A student of Davenport in London, 1945-47.

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Published

1950 letter is re paper by R.P. Bambah. Correspondence 1963-65 is on general research problems, appointments, publications, etc.

A German mathematician who was obliged to leave for Britain in 1939.

Published

Correspondence 1939 includes curriculum vitae, testimonials, list of publications, etc.

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Published

1950 document is recommendation for the award of the de Morgan medal to Besicovitch (not signed).

A Swedish mathematical and bridge-playing colleague at Manchester.

Published

Published

Brief correspondence only.

A research student of Davenport at London.

Published

Frequent letters on results and publication.G.21: Nov.-Dec. 1947

G.22: Jan.-July 1948. includes draft paper October-December.

Published

Mainly publication of Blundon's papers on 'multiple covering', and 'packing'; includes figures.

Published

Published

Davenport's publications in *Acta Mathematica*.

Published

Mainly arrangements for Bollobás to come to Trinity College for academic year 1963-64 and including Davenport's recommendation and 'account of studies' during year at Cambridge.

Bombieri, an Italian mathematician working at Milan, Pisa and Princeton, visited Davenport in 1963 and 1964 and published four collaborative papers with him (See Memoir, pp.164-165).

Published

G.28: 1963–64. Includes Davenport's report on Bombieri's work in Cambridge 1963-64 and arrangements for Davenport to lecture in Milan.G.29: Jan.-July 1965. Correspondence, notes and calculations; includes draft paper by Bombieri on 'The Statistical theory of Dirichlet L-functions'.

G.30: Aug. 1965. Correspondence and drafts on primes paper (published Proc.Roy.Soc. A, 1966).

G.31: Aug. 1965. 'Small differences of primes', two ms. drafts, one each by Davenport and Bombieri, related to correspondence.

G.32: Sept.-Dec. 1965. Continuing correspondence and drafts, on 'prime numbers' paper and on 'large sieve' paper (published 1968).

G.33: Jan.-Apr. 1966.

G.34: June-Sept. 1966. Includes letter from H. Halberstam.

G.35: Oct.-Dec. 1966. Mainly on sieve paper.

G.36: Extensive notes by Davenport kept with 1966 correspondence.

G.37: 1967. Includes revised version of 'large sieve method' July, and correspondence on polynomials (leading up to collaborative paper published in 1969.)

G.38: Jan.-July 1968. Includes arrangements re publication of 'large sieve' paper, and a 7 pp. ms. by Davenport 'The case small', and letters of comment.

See also: D.194-195, 'Some inequalities involving trigonometrical polynomials', with E. Bombieri, and D.183, 'On the large sieve method', with E. Bombieri

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Published

Brothers, both German refugee mathematicians.

Published

Published

Published

Published

4-colour problem.

Published

Four Square Representation.

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Published

A former research student of Davenport at U.C.L.

Published

Correspondence on 'character sums'.

Published

Printing of journals and especially *Mathematika*.

Published

One letter only.

Published

General correspondence on research and publications.G.52: Nov.-Dec. 1946, 1947

G.53: 1948, 1949, 1951

G.54: 1954, 1955, 1956

G.55: 1963, 1969

Published

Letter of 1947 is addressed to C.A. Rogers.

Published

Published

G.59: 1946–48. On functional equations; also includes some personal news.

Published

Proof of unique factorisation.

Published

Published

Mainly on collaborative paper (Bibliog. 74).

Published

The surviving correspondence is sporadic and does not include any of Davenport's replies.

G.64: 1933-34, nd. Includes testimonials for Chowla from J. E. Littlewood and G. H. Hardy. Letter of 16 February 1933 has a ms. note 'Chowla to Walfisz' (see G.335). Some of the undated material may be from Chowla's earlier period at Cambridge.

G.65: 1947-49. The surviving correspondence is sporadic and does not include any of Davenport's replies.

Published

Research and publications.

Published

G.68: 1948-54. Research and recommendations.

Published

Mainly re thesis.

Published

Centenary of London Mathematical Society; includes reprint of article on subject by Collingwood.

Published

Early correspondence is from Göttingen, with news of German mathematicians. Courant left for America in August 1934. Later correspondence is renewing contact after the war.

Published

An undergraduate friend of Davenport at Cambridge, using his youthful nickname of 'Dave' in the letter of 1928 and signing his own letters 'Donald'. Includes some personal news as well as mathematical research.G.73: 1928, 1929, 1932, 1935. From Coxeter's mother), Includes 3pp. 'Prop' by Coxeter, 1932

G.74: 1939

G.75: 1945–48

Published

Packing of small circles. Enquiry originally addressed to S. T. Shovelton and passed on by him to Davenport.

Published

On his visit to Stanford.

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Papers

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Correspondence 1951-52 is re suitable prize problem for Amsterdam Mathematical Society.

Published

Papers

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Minkowski's work.

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Papers

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G.84: Arrangements to spend sabbatical leave working with Davenport on theory of numbers.

Published

Various dates

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One letter only, from Princeton. Mainly mathematical but refers to J. von Neumann's proposed visit to Cambridge.

Published

Includes laudatory report by Davenport on 'fellowship thesis by F. J. Dyson: "Two problems in the theory of numbers".'

Published

One letter only.

Published

Papers

Published

Research, draft paper on lattice constants.

Published

Although Erdös and Davenport collaborated on many publications 1936-63, the surviving correspondence is very meagre and is mainly from Erdös on various mathematical discoveries.

Published

Papers

Published

Davenport's ms. letter only.

Published

Papers

Published

Paper on `Simultaneous diophantine approximation to series'.

Published

Davenport's carbon only, on a paper by Fjellstedt.

Published

Papers

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Papers

Published

Davenport's unpublished 1938 work on inhomogeneous linear forms.

Published

Appreciation of Davenport's paper `Study and research in mathematics' (Bibliog. 85).

Published

Papers

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Papers

Published

Brief exchanges only.

Published

Research, publications, appointments.

Published

One letter only, on an inequality, with 1 p. attached calculations by Davenport headed 'Haldane'.

Published

General correspondence on research and publications, including collaborative paper (Bibliog. 72).

Published

One letter only.

Published

Hardy's communications are letters and cards in his distinctive spiky handwriting, often with parentheses and balloons of afterthoughts, some in pencil and few dated other than by postmark.G.109: 1938, 1939

G.110: 1940. Appeal on behalf of H. Heilbronn.

G.111: 1941, nd. Undated letter (perhaps 1942) refers to 'an undergraduate here called Dyson who is very promising' [F. J. Dyson].

G.112: 1944, May-Dec. and nd. Mainly on revisions of `Hardy-Wright' but including a little general mathematical information.

G.113: 1944. Davenport's letter and revision of Chapter 24, October, and miscellaneous comments on other parts of book.

Published

One letter only, on mathematical tables.

Published

Hasse's pre-war letters are all in very fluent English, with some personal and general as well as mathematical news. His letters in German use the 'du' form right to the end.G.116: 1932, Nov., Dec.

G.117: 1933, Jan.-June. Letter of 20 January has a ms. note by G.H. Hardy.

G.118: 1933, July-Dec. Hasse's letters of 20 and 24 October and 11 November include news of German mathematicians in Germany and abroad.

G.119: 1934. Includes material re Hasse's and Davenport's joint paper (Bibliog. 8), and Hasse's appointment at Göttingen.

G.120: 1935

G.121: 1936, 1938, 1939

See also E.1-15, Collaboration with Helmut Hasse

Published

G.123: 1934. Includes a letter from L. J. Mordell; 1935 (card only, 're Heilbronn's acceptance of Bevan Fellowship at Trinity).G.124: 1939. Two letters only.

G.125: 1940. Includes correspondence re internment, Heilbronn's family affairs, release and service in army.

G.126: 1946. Includes undated letter from G.H. Hardy re help for Heilbronn's parents, tentatively dated 1943 by Mrs. Davenport.

G.127: 1947. Research, publications (Bibliog. 54).

G.128: 1948

G.129: 1949

G.130: 1950

G.131: 1951-54. Includes various notes and drafts and a 'Rough draft' for a paper 'On cubic fields' by Davenport.

G.132: 1955-58. Research, publications, appointments.

G.133: 1959. Heilbronn's letter to A.U.T., December 1959, headed 'University expansion. Quantity or quality'.

G.134: 1960. Includes draft letter and memorandum to Chairman, U.G.C. (Sir Keith, later Lord, Murray) and draft questionnaire.

G.135: 1960. Material re 'Questionnaire on recruitment of university teachers in mathematics' circulated April 1960 by Heilbronn and Davenport.

G.136: May 1960. Replies and information from colleagues in Cambridge, sent to Davenport in answer to questionnaire.

G.137: May 1960. Tables of results and information, and continuing correspondence, including a little on affairs of L.M.S.

G.138: 1960, June-July. Mainly re 'Second Memorandum' on university expansion, to be sent to U.G.C.

G.139: 1960, June-July. Correspondence re proposed conference on shortage of teachers of mathematics. Davenport was asked to chair the conference but declined because of his views on university expansion. (Correspondence kept with the Heilbronn material.)

G.140:1960. Miscellaneous notes and drafts for 'Second Memorandum', 'Notes on the questionnaire', etc.

G.141: 1962–63

Published

Papers

Published

Papers

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Papers

Published

General correspondence on research and publications, and some personal. Includes (1963) humorous poem 'To Professor Mordell on arrival to the city of Vienna'.

Published

Correspondence 1954 is re P. Erdös.

Published

Papers

Published

Papers

Published

Papers

Published

Papers

Published

G.152: 1950. Correspondence with Ingham and others re volume of essays on G.H. Hardy.

Published

Quadratic forms.

Published

Early letters are addressed to 'Dave'.G.155: 1936–44

G.156: 1945–48

Published

Renewing contact with UK colleagues.

Published

Papers

Published

Research and publications.

Published

On 'Physics teaching in Britain'.

Published

Letters to Davenport in California, with news of UCL and Britain.

Published

Papers

Published

Polish research student at Cambridge.

Published

A German refugee mathematician. Correspondence 1930s is from Breslau, correspondence 1942 from Birmingham.

Published

Papers

Published

Papers

Published

Comments on Davenport's research notes and publications.

Published

Includes 6pp. ms. note by Davenport 'A question concerning quadratic forms'.

Published

Papers

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Papers

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G.172: 1961. Correspondence on proposed 'Compilation of a Topical History of the Theory of Numbers'. Includes draft proposal, report (not favourable) of American Mathematical Society Committee, Davenport's draft comments, etc.

Published

Delay lines.

Published

Much of the correspondence reflects their friendly and hospitable relationship as well as research, visits and publications, and general news of the mathematical scene. A little correspondence from Carolyn Lewis is included.G.175: 1957-58. Bibliog. 116

G.176: 1959-60

G.177: 1961

G.178: 1962. Bibliog. 136, 137, 139, visits, lectures

G.179: 1963. Bibliog. 137, 138, 139, 141, 145

G.180: 1964. Bibliog. 145, 148

G.181: 1965

G.182: 1966. Bibliog. 167, 169

G.183: 1967

See also C.115-C.129, Lectures and addresses, University of Michigan.

Published

(Not all dated)

Published

Papers

Published

Card only.

Published

Correspondence and papers November 1952-January 1953 re finances, publishing policy, etc., with Treasurer of the Society, Royal Society, colleagues, etc.

G.188: Correspondence, notes for meetings.

Published

Papers

Published

Papers

Published

Papers

Published

Papers

Published

G.194: 1933–34, 1940. One letter only, from Isle of Man where Mahler was interned.G.195: nd. (Bibliog. 47)

G.196: 1947–49

G.197: 1950–51, 1953

G.198: 1954–55. Includes some reference to the founding of, and papers for, Mathematika.

G.199: 1956–57

G.200: 1958–59, 1961

Published

Papers

Published

Papers

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Thanking Davenport for help with publication.

Published

Papers

Published

Milne was Davenport's tutor in applied mathematics at Manchester, 1924-27. Letters of 1926-27 are re Davenport's Scholarship at Trinity (Milne's own college, to which he was devoted), with advice on directions of study. Letter of 1945 is on current leaders in mathematics.

Published

Papers

Published

The later correspondence (from about 1944, when Christian names began to be used) provides interesting general information on the mathematical scene as well as continuing exchanges on research problems and papers. There are also occasional contributions from Mabel Mordell.

G.208: 1927-29. 1927 (re award of Derby Scholarship to assist Davenport at Trinity), 1929 (suggestions for reading and research; Mordell sent his draft papers to the young Davenport for comment).

G.209: 1930. Letter of 27 November suggests Davenport should take up the 'splendid opportunity' to go to Marburg to work with and teach English to Hasse.

G.210: 1931. Research and publications, mainly on congruences.

G.211: 1932-33

G.212: 1934-35

G.213: 1936, 1938, 1939

G.214 :1942, 1943, 1944

G.215: 1945-46

G.216: 1947-48. 1947 includes comments on Bibliog. 56

G.217: 1949 (not all dated). Some refer to death and obituaries of G.H. Hardy.

G.218: 1950

G.219: 1951

G.220: 1952

G.221: 1953

G.222: 1954

G.223: 1955

G.224: 1956

G.225: 1957

G.226: 1958

G.227: 1959

G.228: 1960-61. 1961 includes draft paper by Mordell 'On a Pellian Equation Conjecture', and a 2pp. untitled ms. note by Davenport.

G.229: 1962

G.230: 1963-64. Includes draft paper by Mordell

G.231: 1965

Published

Papers

Published

Papers

Published

Papers

Published

Triangle of minimum area.

Published

Papers

Published

Correspondence and research notes, mainly on quadratic forms, also on new University of Malaya, Singapore.

Published

Prime factors of a large number.

Published

Equations in high numbers, with 2pp. draft reply.

Published

'Schubfachprinzip'.

Published

Papers

Published

Includes 11pp. draft paper by Pennington 'On Widder's inversion formula'.

Published

Papers

Published

Littlewood's problem.

Published

Papers

Published

Research, appointments. Includes material made available by B.J. Birch: research notes on 'Cubic Problem', 4pp. note by Davenport on 'A Theorem of Rado' and 7pp. ms. draft by Davenport on 'Miss Pitman's simplification' of Bibliog. 119.

Davenport and his wife made the acquaintance of George and Stella Pólya on their Stanford visit 1947-48, and remained lifelong friends.

Published

G.248: 1947-48G.249: 1949. Includes letter (7 May) from A.E. Ingham re G.H. Hardy.

G.250: 1950-51. Includes (November 1950) reference to Davenport's decision not to accept permanent post at Stanford.

Published

Includes draft research papers by Popova and correspondence from A.S. Besicovitch.

Published

G.253: 1946–50G.254: 1952, 1954

Published

Papers

Published

Various dates

Published

Papers

Published

Various dates

Published

Papers

Published

Papers

Published

Comments on paper.

Published

Papers

Published

Papers

Published

Papers

Published

Invitation to contribute a book on number theory to new series 'Mathematical Expositions'.

Published

Minkowski's results on packing of tetrahedra. Includes comments by J.W.S. Cassels.

Published

G.268: 1945. Appointment as Demonstrator at UCL, 1946 (one letter only).G.269: 1947. Frequent reports on research and departmental news, sent to Davenport in USA.

G.270: 1948. Departmental news, research, publications (Bibliog. 70, 71, 73, 79).

G.271: 1949. Includes research notes by Rogers 'On theorems of Markoff, Hurwitz and Segre' and 'Non-homogeneous quadratic forms'.

G.272: 1950. (Bibliog. 81).

G.273: 1952-53. (Davenport's carbon only), 1954 (research, appointments, includes note by Davenport for Nature on Rogers's appointment to Chair at Birmingham).

G.274: 1955

G.275: 1956-57

G.276: 1958. Appointment at UCL.

G.277: 1964. Includes correspondence with R.F. Wrighton on packing of spheres, 6pp. note by Davenport on the problem and comments by Rogers.

Published

G.279: 1951, 1953. Includes research note by Rogers 'The inhomogeneous minima of indefinite Hermitian forms'.

Published

Papers

Published

G.282: 1951. Includes 4pp. ms. note 'On certain sets of integers' (shortened version prepared by Davenport of a paper by Roth) and French translation by Davenport.

Published

Papers

Published

Card of 1928 congratulates 'Dave' on Yeats prize; correspondence 1940-46 describes wartime work for Admiralty, raids on Bath, visit to Germany and meeting with Hasse 1945, etc.

Published

Problem in elliptic integrals.

Published

Papers

Published

Papers

Published

Theorem on addition of residue classes.

Published

Papers

Published

Papers

Published

Papers

Published

G.293: Correspondence, mainly on publications (Bibliog. 173, 183, 185, 188).

Published

Various research problems.

Published

Large sieve problem.

Published

Papers

Published

Papers

Published

G.299: 1938-39. Letter of 16 July includes suggestion that Siegel and Davenport should meet in Denmark in March 1940, referred to in the recollections.G.300: 1941, 1942 , 1954–57, 1964. From Princeton

G.301: 1965–66. Correspondence and arrangements re Gauss Professorship for Davenport at Göttingen, May-July 1966. Includes notices of lectures and draft in German of Bibliog. 171.

G.302: 1966–68

See also C.108-C.114, Lectures and addresses, Göttingen.

Published

Mainly re publications in *Acta Arithmetica*, including Bibliog. 149.

Published

Papers

Published

Research problems and notes, mainly fractions for irrational numbers.

Published

Includes comment by J.W.S. Cassels.

Published

Paper on 'Odd numbers', redrafted by Davenport.

Published

Papers

Published

Papers

Published

Papers

Published

Research note.

Published

Translation of a Russian paper by Kotelnikoff.

Published

Waring's problem.

Published

Correspondence, research notes and problems (not all dated) including collaborative paper (Bibliog. 107).

Published

Correspondence 1956 includes letters re symposia at 1958 Congress and a memorandum by S. Bergman on complex variables.

Published

Papers

Published

Includes research note on 'Davenport's theorem'.

Published

Papers

Published

One letter only.

Published

Papers

Published

Re recent death of his father.

Published

Research and publications, including contributions to memorial volume for E. Landau (Bibliog. 172).

Published

Papers

Published

Papers

Published

Papers

Published

Visits, publications, research. Includes a little personal correspondence.

Published

Papers

Published

Comments on draft papers by Davenport.

Published

Papers

Published

The correspondence is mainly on research and publications and includes drafts of papers submitted by Varnavides.G.330: 1947-48

G.331: 1950-51

G.332: 1952-54

G.333: 1955-56. Includes various drafts of papers on quadratic forms.

Published

Pre-war correspondence is from Radość; post-war correspondence is from Tiflis.

G.335: 1930-57. On research and publications by Walfisz and S. Chowla, and including two drafts of paper by Chowla 'On the class-numbers of binary quadratic forms' (in Walfisz's hand) and copy of letter by Walfisz to Chowla.

See G.64, Chowla, S.

Published

Contemporary of Davenport at Trinity.

After taking a mathematics degree at Trinity, Cambridge in 1930, Watson entered the Indian Civil Service. On returning to Britain, he became a mature research student (part-time) of Davenport in London and wrote a collaborative paper with him.

Published

Despite the paucity of letters from Davenport, the correspondence gives a full account of research, publications and career and includes several draft papers.G.338: 1950

G.339: 1951

G.340: 1952. Includes research note.

G.341: 1953. Includes drafts, etc. for collaborative paper (Bibliog. 103), and other research notes.

G.342: 1954, 1955

G.343: 1956-58

Published

Correspondence 1933, on a problem of Davenport, includes ms. notes for a solution by Watson.

Published

Elementary proof of the prime number theorem.

Published

Research and publications, including draft papers. Few letters dated.

Published

Correspondence and notes re points on a sphere.

Published

Invitation to Davenport to a Chair at McGill.

Published

Random noise.

Published

Correspondence 1952 is re 3rd edition of 'Hardy and Wright' Introduction to the theory of numbers (published 1954).

Published

Papers

Published

Proposal for National Mathematics Research Centre.

Published

Mathematical papers of P. Zervos (father of S.P.).

Published

Research and publications on prime numbers.

Published

Includes note by Davenport in reply to problem.

Published

Papers (not indexed). In alphabetical order.

Published

Published

Published

Published

Published

Published

Published

Published

Published

Published

Published

Published

Published

Published

Some with replies by Davenport, or notes for a reply by colleagues.