New modular relations for the Göllnitz-Gordon functions

Shu Ling Chen; Sen Shan Huang

doi:10.1006/jnth.2001.2708

New modular relations for the Göllnitz-Gordon functions

Shu Ling Chen, Sen Shan Huang

Department of Mathematics

Research output: Contribution to journal › Article

21 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	58-75
Number of pages	18
Journal	Journal of Number Theory
Volume	93
Issue number	1
DOIs	https://doi.org/10.1006/jnth.2001.2708
Publication status	Published - 2002 Jan 1

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All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Cite this

Chen, S. L., & Huang, S. S. (2002). New modular relations for the Göllnitz-Gordon functions. Journal of Number Theory, 93(1), 58-75. https://doi.org/10.1006/jnth.2001.2708

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Access to Document

10.1006/jnth.2001.2708