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題名: Incomplete Elliptic Integrals in Ramanujan's Lost Notebook
作者: Berndt, Bruce C.;Chan, Heng-Huat;Huang, Sen-Shan
貢獻者: 數學系
日期: 2000
上傳時間: 2013-12-30T06:56:31Z
出版者: American Mathematical Society
摘要: 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.”
關聯: Contemporary Mathematics, 254: 79-126
顯示於類別:[數學系] 期刊論文

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