A Proof of some identities of Ramanujan using modular forms
- 1 September 1989
- journal article
- research article
- Published by Cambridge University Press (CUP) in Glasgow Mathematical Journal
- Vol. 31 (3), 271-295
- https://doi.org/10.1017/s0017089500007850
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].Keywords
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- Elliptic Modular FunctionsPublished by Springer Science and Business Media LLC ,1974
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- Proofs of Certain Identities and Congruences Enunciated by S. RamanujanProceedings of the London Mathematical Society, 1921