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Papers of Harold Davenport
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'Trigonometrical polynomials'

'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.

Letter to Mrs. Davenport from C. A. Rogers, March 1972, enclosing photocopies of her husband's original draft and the proposed paper Halberstam had prepared from it.

Correspondence and material relating to the memoir of Davenport by C. A. Rogers, D. A. Burgess, H. Halberstam and B. J. Birch

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).

Includes 2pp. plan allocating work between collaborators, correspondence, drafts of various sections of the memoir.

'On writing mathematical papers'

(Unpublished).
D.201: Correspondence, 1966, 1969; 2pp. ms. notes.
D.202: (Unpublished). Background material (printed matter).
D.203: (Unpublished). 23pp. typescript draft with covering letter to Mrs. Davenport from L. J. Mordell, June 1969. Letters to Mrs. Davenport re paper from J. W. S. Cassels, October 1969, and V. Armitage, February 1970.

Typescript biographical notes made by Mrs. Davenport after her husband's death

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.

Students supervised by Davenport at Cambridge, 1959-69.

'The collected works of Harold Davenport', edited by B. J. Birch, H. Halberstam and C. A. Rogers

210: Correspondence between the editors and with other colleagues, 1969, 1970
211: Correspondence between the editors and with other colleagues, 1974
212: Correspondence between the editors and with other colleagues, 1975
213: B. J. Birch's ms. notes for and drafts of introductions to papers by Davenport. Photocopies of Davenport's typescript notes on his own work. Part only; for full version see A.10. 4pp. typescript index, with ms. corrections by B. J. Birch.

'On the representation of positive integers as sums of three cubes of positive rational numbers', with E. Landau

(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.
D.185: 5pp. ms. draft; corrected proofs. Also included is a letter from Marianne Landau on the death of her husband.

Miscellaneous notes and cutting

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.

1p. ms. list of non-mathematical quotations, possibly for use in speeches.

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