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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.
G.114: 1945, 1946, 1947.

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.

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'.

The fourth category, 'Italian mathematicians', from information given by B. Segre (Manchester), gives a list of mathematicians 'dismissed by the Fascists in 1938' and another of anti-fascist mathematicians.

(Bibliog. 49).

12pp. ms. draft (Heilbronn's hand); 9pp. ms. draft.

(Bibliog. 55).

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

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

Included here is 'A problem in the geometry of numbers', with H. Heilbronn, 6pp. ms. draft labelled 'essentially published', probably 1947 or a little later.

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