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题名: New Modular Relations for the G�llnitz-Gordon Functions
作者: Chen, Shu-Ling;Huang, Sen-Shan
贡献者: 數學系
关键词: Rogers-Ramanujan functions;G�llnitz-Gordon functions;Ramanujan's general theta function;Jacobi's triple product identity;Colored partitions
日期: 2002-03
上传时间: 2013-12-30T06:56:42Z
出版者: Elsevier
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.
關聯: Journal of Number Theory, 93(1): 58-75
显示于类别:[數學系] 期刊論文

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