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http://ir.ncue.edu.tw/ir/handle/987654321/17743
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| 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
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| Issue Date: | 2013-12-30T06:56:30Z
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| 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: | [數學系] 期刊論文
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