Several identities for certain products of theta functions

被引：0
|
作者：
Qinglun Yan
机构：
[1] Nanjing University of Posts and Telecommunications,College of Mathematics and Physics
来源：
The Ramanujan Journal | 2009年 / 19卷
关键词：
Ramanujan’s general theta function; Theta function; Jacobi’s triple product identity; Göllnitz-Gordon function; Modular relations; 33D10; 33C05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
By means of a technique used by Carlitz and Subbarao to prove the quintuple product identity (Proc. Am. Math. Soc. 32(1):42–44, 1972), we recover a general identity (Chu and Yan, Electron. J. Comb. 14:#N7, 2007) for expanding the product of two Jacobi triple products. For applications, we briefly explore identities for certain products of theta functions φ(q), ψ(q) and modular relations for the Göllnitz-Gordon functions.
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页码：79 / 94
页数：15
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