National Changhua University of Education Institutional Repository : Item 987654321/17741
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题名: On Modular Relations for the G�llnitz-Gordon Functions with Applications to Partitions
作者: Huang, Sen-Shan
贡献者: 數學系
关键词: Rogers-Ramanujan functions (identities);G�llnitz-Gordon functions (identities);Dedekind eta-functions;Partitions;Colored partitions
日期: 1998-02
上传时间: 2013-12-30T06:56:28Z
出版者: Elsevier
摘要: 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 modular relations involving the Göllnitz–Gordon functions which are analogous to Ramanujan's forty identities. Furthermore, we extract interesting partition results from some of the modular relations.
關聯: Journal of Number Theory, 68(2): 178-216
显示于类别:[數學系] 期刊論文

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