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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.

Covering note (A.30), gives names of other examiners, Bailey, Milne and Chapman, which papers they set and Davenport's marks for each.

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
G.232: 1967-68

(Unpublished).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D.202: (Unpublished).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D.203: (Unpublished). 23pp.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.

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
G.142: 1964, 1965, 1967. Brief correspondence only.