On Modular Relations for the Göllnitz-Gordon Functions with Applications to Partitions

研究成果: Article同行評審

21 引文 斯高帕斯(Scopus)

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.

原文English
頁(從 - 到)178-216
頁數39
期刊Journal of Number Theory
68
發行號2
DOIs
出版狀態Published - 1998 二月 1

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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