Some circular summation formulas for theta functions

Boundary value problems

Qiu-Ming Luo¹  Yi Cai¹  Si Chen² 

[1] Department of Mathematics, Chongqing Normal University, Chongqing Higher Education Mega Center, Huxi Campus, Chongqing, People’s Republic of China

关键词: circular summation;    elliptic functions;    theta functions;    theta function identities;   

DOI  :  10.1186/1687-2770-2013-59

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we obtain some circular summation formulas of theta functions using the theory of elliptic functions and show some interesting identities of theta functions and applications. MSC:11F27, 33E05, 11F20.

【 授权许可】

CC BY