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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/17743

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/17743

Title:	Some Theorems on the Rogers-Ramanujan Continued Fraction in Ramanujan's Lost Notebook
Authors:	Berndt, Bruce C.;Huang, Sen-Shan;Sohn, Jaebum;Son, Seung-Hwan
Contributors:	數學系
Date:	2000-05
Issue Date:	2013-12-30T06:56:30Z
Publisher:	American Mathematical Society
Abstract:	In his first two letters to G. H. Hardy and in his notebooks, Ramanujan recorded many theorems about the Rogers-Ramanujan continued fraction. In his lost notebook, he offered several further assertions. The purpose of this paper is to provide proofs for many of the claims about the Rogers-Ramanujan and generalized Rogers-Ramanujan continued fractions found in the lost notebook. These theorems involve, among other things, modular equations, transformations, zeros, and class invariants.
Relation:	Trans. Amer. Math. Soc., 352(5): 2157-2177
Appears in Collections:	[math] Periodical Articles

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