Title of article
New Modular Relations for the Göllnitz–Gordon Functions Original Research Article
Author/Authors
Shu-Ling Chen، نويسنده , , Sen-Shan Huang، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
18
From page
58
To page
75
Abstract
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 Ramanujanʹs 40 identities. Also, we give new proofs for some modular relations for the Göllnitz–Gordon functions which have been previously established by using results from L. Rogers and D. Bressoud. Finally, we give applications of those new modular relations to the theory of partitions.
Keywords
Rogers–Ramanujan functions , G?llnitz–Gordon functions , Ramanujan’sgeneral theta function , colored partitions. , Jacobi’s triple product identity
Journal title
Journal of Number Theory
Serial Year
2002
Journal title
Journal of Number Theory
Record number
715294
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