The so-called
Lost Notebook
of S.R. Ramanujan was brought to light in 1976 as part of the Watson bequest, by G.E. Andrews with whose introduction this collection of unpublished manuscripts opens. A major portion of the
Lost Notebook
- really just 90 unpaginated sheets of work on
q
-series and other topics - is reproduced here in facsimile. Letters from Ramanujan to Hardy as well as various other sheets of seemingly related notes are then included, on topics including coefficients in the 1/q3 and 1/q2 problems and the mock theta functions. The next 180 pages consist of unpublished manuscripts of Ramanujan, including 28 pages from the 'Loose Papers` held in the Trinity College Library. Finally a number of interesting letters that were exchanged between Ramanujan, Littlewood, Hardy and Watson, with a bearing on Ramanujan's work are collected together here with other extracts and fragments.
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ISBN-13
978-3-540-18726-4 (9783540187264)
Schweitzer Klassifikation
Contents: Acknowledgements.- Publishers Note.- Introduction.- The Lost Notebook.- Letters from Srinivasa Ramanujan to G.H. Hardy and some sheets from the Lost Notebook.- Properties of p(n) and (n).- Loose Papers on Reciprocal Functions, Approximate Summations of Series Involving Prime Numbers, Euler Products for Dirichlet Series and Forty Identities etc.- Other Unplished Papers.