scholarly journals Odd values of the Rogers–Ramanujan functions

2018 ◽  
Vol 356 (11-12) ◽  
pp. 1081-1084 ◽  
Author(s):  
Shi-Chao Chen
Keyword(s):  
Ramanujan Functions

A remark on Nesterenko’s theorem for Ramanujan functions

2010 ◽  
Vol 21 (2) ◽  
pp. 211-221 ◽  
Author(s):  
Carsten Elsner ◽  
Shun Shimomura ◽  
Iekata Shiokawa
Keyword(s):  
Ramanujan Functions ◽  
Nesterenko’S Theorem

scholarly journals A Proof of some identities of Ramanujan using modular forms

1989 ◽  
Vol 31 (3) ◽  
pp. 271-295 ◽  
Author(s):  
Anthony J. F. Biagioli
Keyword(s):  
Modular Forms ◽  
Ramanujan Functions ◽  
Image Position

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].

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