Double Series Identities Arising from Jacobi's Identity of the Theta Function

被引：2
|
作者：
Tsumura, Hirofumi [1 ]
机构：
[1] Tokyo Metropolitan Univ, Dept Math & Informat Sci, 1-1 Minami Ohsawa, Hachioji, Tokyo 1920397, Japan
来源：
RESULTS IN MATHEMATICS | 2018年 / 73卷 / 01期
基金：
日本学术振兴会;
关键词：
Eisenstein series; Riemann's zeta-function; hyperbolic functions; ANALOGS;
D O I：
10.1007/s00025-018-0770-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show certain formulas for double series involving hyperbolic functions which come from the well-known transformation formula, namely Jacobi's identity for the classical theta function. These can be regarded as relevant analogues of formulas given in the previous papers.
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页数：12
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