Residue theorem and theta function identities

Zhi Guo Liu

doi:10.1023/A:1011427622187

Residue theorem and theta function identities

Zhi Guo Liu

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

In this paper we will use the residue theorem of elliptic functions to prove some theta function identities of Ramanujan. We also derive some new identities by this method.

Original language	English
Pages (from-to)	129-151
Number of pages	23
Journal	Ramanujan Journal
Volume	5
Issue number	2
DOIs	https://doi.org/10.1023/A:1011427622187
State	Published - Jun 2001
Externally published	Yes

Keywords

Elliptic functions
Residue theorem
Theta function identities

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10.1023/A:1011427622187

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title = "Residue theorem and theta function identities",

abstract = "In this paper we will use the residue theorem of elliptic functions to prove some theta function identities of Ramanujan. We also derive some new identities by this method.",

keywords = "Elliptic functions, Residue theorem, Theta function identities",

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

year = "2001",

month = jun,

doi = "10.1023/A:1011427622187",

language = "英语",

volume = "5",

pages = "129--151",

journal = "Ramanujan Journal",

issn = "1382-4090",

publisher = "Springer Netherlands",

number = "2",

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T1 - Residue theorem and theta function identities

AU - Liu, Zhi Guo

PY - 2001/6

Y1 - 2001/6

N2 - In this paper we will use the residue theorem of elliptic functions to prove some theta function identities of Ramanujan. We also derive some new identities by this method.

AB - In this paper we will use the residue theorem of elliptic functions to prove some theta function identities of Ramanujan. We also derive some new identities by this method.

KW - Elliptic functions

KW - Residue theorem

KW - Theta function identities

UR - https://www.scopus.com/pages/publications/0035539595

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DO - 10.1023/A:1011427622187

M3 - 文章

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SN - 1382-4090

VL - 5

SP - 129

EP - 151

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 2

ER -

Residue theorem and theta function identities

Abstract

Keywords

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