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

^*此作品的通讯作者

University of Sussex
Xinxiang Education College

科研成果: 期刊稿件 › 文章 › 同行评审

17 引用（Scopus）

摘要

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

源语言	英语
页（从-至）	347-352
页数	6
期刊	Ramanujan Journal
卷	4
期	4
DOI	https://doi.org/10.1023/A:1009809330525
出版状态	已出版 - 12月 2000
已对外发布	是

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@article{3713ed58effe411ba1506709d2c486dc,

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",

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doi = "10.1023/A:1009809330525",

language = "英语",

volume = "4",

pages = "347--352",

journal = "Ramanujan Journal",

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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

UR - https://www.scopus.com/pages/publications/0034345627

U2 - 10.1023/A:1009809330525

DO - 10.1023/A:1009809330525

M3 - 文章

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SN - 1382-4090

VL - 4

SP - 347

EP - 352

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 4

ER -

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

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