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A Proof of some identities of Ramanujan using modular forms

Published online by Cambridge University Press:  18 May 2009

Anthony J. F. Biagioli
Anthony J. F. Biagioli
Affiliation:
The University of Missouri at Rolla, Rolla, Missouri 65401, U.S.A.
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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 functions

At 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].

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 31 , Issue 3 , September 1989 , pp. 271 - 295
Copyright
Copyright © Glasgow Mathematical Journal Trust 1989

References

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