一个Theta函数恒等式的推广和相关模形式

doi:10.13371/j.cnki.chin.q.j.m.2015.02.008

数学季刊 ›› 2015, Vol. 30 ›› Issue (2): 211-217.doi: 10.13371/j.cnki.chin.q.j.m.2015.02.008

一个Theta函数恒等式的推广和相关模形式

College of Mathematics, Luoyang Normal University

收稿日期:2014-11-03 出版日期:2015-06-30 发布日期:2020-11-23
作者简介:XUE Lin(1979-),female, native of Luoyang, Henan,an associate professor of Luoyang Normal University, M.S.D., engages in special functions; ZHANG Zhi-zheng(1964-), male, native of Jiaozuo, Henan, who has been out of two postdoctoral stations, a professor of Luoyang Normal University, engages in q-series and combinatorics and special functions.
基金资助:
Supported by the National Natural Science Foundation of China(11071107,11371184)；

A General Theta Function Identity and Modular Equations

College of Mathematics, Luoyang Normal University

Received:2014-11-03 Online:2015-06-30 Published:2020-11-23
About author:XUE Lin(1979-),female, native of Luoyang, Henan,an associate professor of Luoyang Normal University, M.S.D., engages in special functions; ZHANG Zhi-zheng(1964-), male, native of Jiaozuo, Henan, who has been out of two postdoctoral stations, a professor of Luoyang Normal University, engages in q-series and combinatorics and special functions.
Supported by:
Supported by the National Natural Science Foundation of China(11071107,11371184)；

摘要/Abstract

摘要： In this paper, we establish a general theta function identity. It is a common origin of many theta function identities. From which many classical and new modular equations are derived. All the proofs are elementary.

关键词: theta function, jacobian elliptic function, modular equations, quasi periods, pole

Abstract: In this paper, we establish a general theta function identity. It is a common origin of many theta function identities. From which many classical and new modular equations are derived. All the proofs are elementary.

Key words: theta function, jacobian elliptic function, modular equations, quasi periods; pole

中图分类号:

O156

薛琳, 张之正. 一个Theta函数恒等式的推广和相关模形式[J]. 数学季刊, 2015, 30(2): 211-217.

XUE Lin, ZHANG Zhi-zheng. A General Theta Function Identity and Modular Equations[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(2): 211-217.

一个Theta函数恒等式的推广和相关模形式

A General Theta Function Identity and Modular Equations

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