Finite and infinite Rogers-Ramanujan continued fractions in Ramanujan's lost notebook

被引：0

作者：

Berndt, Bruce C. ^{[1
]}

Kang, Soon-Yi ^{[2
]}

Sohn, Jaebum ^{[3
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[2] Kangwon Natl Univ, Dept Math, Chunchon 200701, South Korea

[3] Yonsei Univ, Dept Math, Seoul 120749, South Korea

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 148卷

基金：

新加坡国家研究基金会;

关键词：

Rogers-Ramanujan continued fraction; Finite Rogers-Ramanujan continued fraction; Explicit values;

D O I：

10.1016/j.jnt.2014.09.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：112 / 120

页数：9

共 50 条

[1] Some theorems on the Rogers-Ramanujan continued fraction in Ramanujan's lost notebook
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[2] ARITHMETIC OF INFINITE PRODUCTS AND ROGERS-RAMANUJAN CONTINUED FRACTIONS
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[J]. ADVANCES IN MATHEMATICS, 2005, 191 (02) : 393 - 407
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[5] Some Theorems on the Rogers-Ramanujan Continued Fraction and Associated Theta Function Identities in Ramanujan's Lost Notebook
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[J]. The Ramanujan Journal, 1999, 3 : 91 - 111
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[7] SOME CONTINUED FRACTIONS OF ROGERS-RAMANUJAN TYPE
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[8] RAMUNUJAN LOST NOTEBOOK .3. THE ROGERS-RAMANUJAN CONTINUED-FRACTION
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[J]. ADVANCES IN MATHEMATICS, 1981, 41 (02) : 186 - 208
[9] Some continued fractions in Ramanujan's lost notebook
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[J]. MONATSHEFTE FUR MATHEMATIK, 2005, 146 (01): : 37 - 48
[10] Ramanujan's evaluations of Rogers-Ramanujan type continued fractions at primitive roots of unity
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