The Borweins' cubic theta function identity and some cubic modular identities of Ramanujan

Zhi Guo Liu

doi:10.1023/A:1009825922114

The Borweins' cubic theta function identity and some cubic modular identities of Ramanujan

Zhi Guo Liu^*

^*Corresponding author for this work

Xinxing Education College

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

11 Scopus citations

Abstract

In this paper the author will give new proofs of the Borweins' cubic theta function identity and a related identity relying on the properties of elliptic functions and the technique of comparing constant terms.

Original language	English
Pages (from-to)	43-50
Number of pages	8
Journal	Ramanujan Journal
Volume	4
Issue number	1
DOIs	https://doi.org/10.1023/A:1009825922114
State	Published - Mar 2000
Externally published	Yes

Keywords

Elliptic functions
Modular equations
Modular forms
Theta functions

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10.1023/A:1009825922114

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title = "The Borweins' cubic theta function identity and some cubic modular identities of Ramanujan",

abstract = "In this paper the author will give new proofs of the Borweins' cubic theta function identity and a related identity relying on the properties of elliptic functions and the technique of comparing constant terms.",

keywords = "Elliptic functions, Modular equations, Modular forms, Theta functions",

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

year = "2000",

month = mar,

doi = "10.1023/A:1009825922114",

language = "英语",

volume = "4",

pages = "43--50",

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AB - In this paper the author will give new proofs of the Borweins' cubic theta function identity and a related identity relying on the properties of elliptic functions and the technique of comparing constant terms.

KW - Elliptic functions

KW - Modular equations

KW - Modular forms

KW - Theta functions

UR - https://www.scopus.com/pages/publications/0040735821

U2 - 10.1023/A:1009825922114

DO - 10.1023/A:1009825922114

M3 - 文章

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SN - 1382-4090

VL - 4

SP - 43

EP - 50

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 1

ER -

The Borweins' cubic theta function identity and some cubic modular identities of Ramanujan

Abstract

Keywords

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