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

Sen Shan Huang

doi:10.1006/jnth.1997.2205

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

Sen Shan Huang

Department of Mathematics

Research output: Contribution to journal › Article

21 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	178-216
Number of pages	39
Journal	Journal of Number Theory
Volume	68
Issue number	2
DOIs	https://doi.org/10.1006/jnth.1997.2205
Publication status	Published - 1998 Feb 1

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1006/jnth.1997.2205

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Huang, S. S. (1998). On Modular Relations for the Göllnitz-Gordon Functions with Applications to Partitions. Journal of Number Theory, 68(2), 178-216. https://doi.org/10.1006/jnth.1997.2205

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