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Some modular relations for the Göllnitz–Gordon functions by an even–odd method

✍ Scribed by Ernest X.W. Xia; X.M. Yao


Book ID
113721542
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
181 KB
Volume
387
Category
Article
ISSN
0022-247X

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New Modular Relations for the Göllnitz–G
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We attempt to obtain new modular relations for the Göllnitz-Gordon functions by techniques which have been used by L. J. Rogers, G. N. Watson, and D. Bressoud to prove some of Ramanujan's 40 identities. Also, we give new proofs for some modular relations for the Göllnitz-Gordon functions which have

On Modular Relations for the Göllnitz–Go
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In a manuscript of Ramanujan, published with his Lost Notebook [21, pp. 236 237], there are forty identities involving the Rogers Ramanujan functions. According to G. N. Watson, the beauty of these identities are comparable to that of the Rogers Ramanujan identities. In the paper, we establish modul