Some inverse relations and theta function identities

Zhi Guo Liu

doi:10.1142/S1793042112501126

Some inverse relations and theta function identities

Zhi Guo Liu^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

13 引用（Scopus）

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.

源语言	英语
页（从-至）	1977-2002
页数	26
期刊	International Journal of Number Theory
卷	8
期	8
DOI	https://doi.org/10.1142/S1793042112501126
出版状态	已出版 - 12月 2012

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abstract = "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.",

keywords = "Elliptic function, Entire function, Fourier series, Schr{\"o}ter formula, Theta function",

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AB - 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.

KW - Elliptic function

KW - Entire function

KW - Fourier series

KW - Schröter formula

KW - Theta function

UR - https://www.scopus.com/pages/publications/84866674460

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DO - 10.1142/S1793042112501126

M3 - 文章

AN - SCOPUS:84866674460

SN - 1793-0421

VL - 8

SP - 1977

EP - 2002

JO - International Journal of Number Theory

JF - International Journal of Number Theory

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Some inverse relations and theta function identities

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