A Proof of some identities of Ramanujan using modular forms

Author:

Biagioli Anthony J. F.

Abstract

In 1974 B. J. Birch [1] published a description of some manuscripts of Ramanujan which contained, among other things, a list of forty identities involving the Rogers-Ramanujan functionsAt that time nine of these had been proven, and since then twenty-two more of them have been proven, fifteen of them by David Bressoud in his thesis [2]. Bressoud gives a synopsis of the extant proofs, where he attributes proofs to H. B. C. Darling [3], L. J. Rogers [4], L. J. Mordell [5], and G. N. Watson [6].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. Ramanujan's ”mixed” modular equations;Berndt;J. Ramanujan Math. Soc.,1986

2. 2. Bressoud David , Proof and generalization of certain identities conjectured by Ramanujan (thesis, Temple university 1980).

3. Elliptic Modular Functions

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