SOME INVERSE RELATIONS AND THETA FUNCTION IDENTITIES

被引：10

作者：

Liu, Zhi-Guo ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2012年 / 8卷 / 08期

基金：

美国国家科学基金会;

关键词：

Elliptic function; theta function; entire function; Schroter formula; Fourier series; CIRCULAR SUMMATION; PRODUCTS; FORMULA; PROOF;

D O I：

10.1142/S1793042112501126

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two pairs of inverse relations for elliptic theta functions are established with the method of Fourier series expansion, which allow us to recover many classical results in theta functions. Many nontrivial new theta function identities are discovered. Some curious trigonometric identities are derived.

引用

页码：1977 / 2002

页数：26

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