A theta function identity of degree 7 with applications

Zhi Guo Liu

doi:10.1080/10652469.2011.594050

A theta function identity of degree 7 with applications

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

2 引用（Scopus）

摘要

A theta function identity of degree 7 is established with the theory of elliptic functions. A multitude of new modular identities are derived from this theta function identity. Some finite trigonometric sums are given.

源语言	英语
页（从-至）	389-396
页数	8
期刊	Integral Transforms and Special Functions
卷	23
期	6
DOI	https://doi.org/10.1080/10652469.2011.594050
出版状态	已出版 - 6月 2012

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10.1080/10652469.2011.594050

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abstract = "A theta function identity of degree 7 is established with the theory of elliptic functions. A multitude of new modular identities are derived from this theta function identity. Some finite trigonometric sums are given.",

keywords = "elliptic function, entire function, modular equations, theta function",

author = "Liu, \{Zhi Guo\}",

year = "2012",

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language = "英语",

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AB - A theta function identity of degree 7 is established with the theory of elliptic functions. A multitude of new modular identities are derived from this theta function identity. Some finite trigonometric sums are given.

KW - elliptic function

KW - entire function

KW - modular equations

KW - theta function

UR - https://www.scopus.com/pages/publications/84861610120

U2 - 10.1080/10652469.2011.594050

DO - 10.1080/10652469.2011.594050

M3 - 文章

AN - SCOPUS:84861610120

SN - 1065-2469

VL - 23

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JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

IS - 6

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A theta function identity of degree 7 with applications

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