Some modular relations for the Göllnitz-Gordon functions and Ramanujan’s modular equations

Ernest X. W. Xia () and Olivia X. M. Yao ()
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Ernest X. W. Xia: Jiangsu University
Olivia X. M. Yao: Jiangsu University

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 1, 53-74

Abstract: Abstract Huang used the methods of Rogers, Watson and Bressoud to derive some new modular relations involving the Göllnitz-Gordon functions. In this paper, using Ramanujan’s modular equations, we present a uniform method to prove these modular relations established by Huang.

Keywords: Rogers-Ramanujan functions; Göllnitz-Gordon functions; Ramanujan’s modular equation; theta functions (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0051-1

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