A conjecture of Hirschhorn on the 4-dissection of Ramanujan's continued fraction

Richard Lewis; Zhi Guo Liu

doi:10.1023/A:1009809330525

A conjecture of Hirschhorn on the 4-dissection of Ramanujan's continued fraction

Richard Lewis^*
, Zhi Guo Liu

^*Corresponding author for this work

University of Sussex
Xinxiang Education College

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

17 Scopus citations

Abstract

We show that two recently published conjectures by Hirschhorn concerning the 4-dissection of Ramanujan's continued fraction are correct.

Original language	English
Pages (from-to)	347-352
Number of pages	6
Journal	Ramanujan Journal
Volume	4
Issue number	4
DOIs	https://doi.org/10.1023/A:1009809330525
State	Published - Dec 2000
Externally published	Yes

Keywords

Ramanujan's continued fraction
The power series [z; q]
Theta function identity

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10.1023/A:1009809330525

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title = "A conjecture of Hirschhorn on the 4-dissection of Ramanujan's continued fraction",

abstract = "We show that two recently published conjectures by Hirschhorn concerning the 4-dissection of Ramanujan's continued fraction are correct.",

keywords = "Ramanujan's continued fraction, The power series [z; q], Theta function identity",

author = "Richard Lewis and Liu, \{Zhi Guo\}",

year = "2000",

month = dec,

doi = "10.1023/A:1009809330525",

language = "英语",

volume = "4",

pages = "347--352",

journal = "Ramanujan Journal",

issn = "1382-4090",

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AU - Liu, Zhi Guo

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N2 - We show that two recently published conjectures by Hirschhorn concerning the 4-dissection of Ramanujan's continued fraction are correct.

AB - We show that two recently published conjectures by Hirschhorn concerning the 4-dissection of Ramanujan's continued fraction are correct.

KW - Ramanujan's continued fraction

KW - The power series [z; q]

KW - Theta function identity

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DO - 10.1023/A:1009809330525

M3 - 文章

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VL - 4

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EP - 352

JO - Ramanujan Journal

JF - Ramanujan Journal

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ER -

A conjecture of Hirschhorn on the 4-dissection of Ramanujan's continued fraction

Abstract

Keywords

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