A few theta-function identities and some of Ramanujan's modular equations

被引：6
|
作者：
Baruah, ND [1 ]
机构：
[1] Tezpur Univ, Sch Sci & Technol, Dept Math Sci, Sonitpur 784025, Assam, India
来源：
RAMANUJAN JOURNAL | 2000年 / 4卷 / 03期
关键词：
theta-function; elliptic integral; modulus; modular equation; multiplier;
D O I：
10.1023/A:1009835301693
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove three modular equations of Ramanujan using theta-function identities. Proofs via methods known to Ramanujan were not available hitherto. One had previously been proved by classical methods, and two had been proved using the theory of modular forms.
引用
收藏
页码：239 / 250
页数：12
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