New modular relations for the Göllnitz-Gordon functions

Shu Ling Chen, Sen Shan Huang

研究成果: Article同行評審

21 引文 斯高帕斯(Scopus)

摘要

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 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.

原文English
頁(從 - 到)58-75
頁數18
期刊Journal of Number Theory
93
發行號1
DOIs
出版狀態Published - 2002

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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