A note on a generalized circular summation formula of theta functions

被引：11
|
作者：
Zhu, Jun-Ming [1 ,2 ]
机构：
[1] Luoyang Normal Univ, Dept Math, Luoyang City 471022, Henan, Peoples R China
[2] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
来源：
JOURNAL OF NUMBER THEORY | 2012年 / 132卷 / 06期
关键词：
Theta function; Circular summation; Jacobi imaginary transformation; Cubic theta function;
D O I：
10.1016/j.jnt.2011.12.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we make a correction of the imaginary transformation formula of Chan and Liu's circular formula of theta functions. We also get the imaginary transformation formulaes for a type of generalized cubic theta functions. (C) 2012 Published by Elsevier Inc.
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页码：1164 / 1169
页数：6
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