Ramanujan's series for 1/π arising from his cubic and quartic theories of elliptic functions

被引：23

作者：

Baruah, Nayandeep Deka ^{[2
]}

Berndt, Bruce C. ^{[1
]}

机构：

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

[2] Tezpur Univ, Dept Math Sci, Sonitpur 784028, Assam, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 341卷 / 01期

关键词：

eisenstein series; theta-functions; modular equations;

D O I：

10.1016/j.jmaa.2007.10.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using certain representations for Eisenstein series, we derive several of Ramanujan's series for 1/pi arising from his cubic and quartic theories of elliptic functions. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：357 / 371

页数：15

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