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Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/17744

Title: Incomplete Elliptic Integrals in Ramanujan's Lost Notebook
Authors: Berndt, Bruce C.;Chan, Heng-Huat;Huang, Sen-Shan
Contributors: 數學系
Date: 2000
Issue Date: 2013-12-30T06:56:31Z
Publisher: American Mathematical Society
Abstract: On pages 51–53 of his lost notebook, S. Ramanujan expressed several integrals of products of Dedekind eta-functions in terms of incomplete elliptic integrals of the first kind. In this paper, we prove these identities using only results found in Ramanujan’s notebooks. We then construct several new elliptic integrals of this type using modular identities associated with certain “Hauptmoduls.”
Relation: Contemporary Mathematics, 254: 79-126
Appears in Collections:[數學系] 期刊論文

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