The papers, which are substantial, cover most aspects of his life and work. The biographical and personal material includes Davenport's own unpublished reminiscences and reflections on his life's work, made shortly before his death with the assistance of his wife and a colleague, D. J. Lewis. Other documentation of his career includes, unusually, his examination scripts and marks awarded at Manchester University in 1927, preserved by his principal tutor L. J. Mordell. There are university notebooks and lecture notes which record mathematical teaching in Manchester, 1924-1927, and Cambridge, 1927-1932, and substantial documentation of Davenport's own contribution to mathematics teaching from the 1930s as a Research Fellow in Cambridge through his various university appointments and invitation lectures abroad. There are also drafts for publications, research notes including collaborative work with H. Hasse arising from the Marburg period, and notes on the lectures of others including mathematicians of an earlier generation (K. Mahler, L. J. Mordell, C. L. Siegel), Davenport's friends and contemporaries (P. Erdos, H. A. Heilbronn) and his pupils and successors (F.J. Birch, J. W. S. Cassels, C. A. Rogers, K. F. Roth). The correspondence includes some substantial exchanges with colleagues such as E. Bombieri, D. J. Lewis and C. A. Rogers. Also reflected in the correspondence is Davenport's close connection with German mathematicians, several of whom he met on his early visits to Marburg and whom he helped and encouraged when they were forced to emigrate in the 1930s. Examples are H. A. Heilbronn, H. Kober, K. Mahler, and RR. Rado. There is also correspondence with H. Hasse who remained in Germany.