Theta function identities associated with Ramanujan's modular equations of degree 15

被引:0
作者
Barman, Rupam [1 ]
Baruah, Nayandeep Deka [1 ]
机构
[1] Tezpur Univ, Dept Math Sci, Napaam 784028, India
来源
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2010年 / 120卷 / 03期
关键词
Theta function; elliptic integral; modular equation; multiplier; PARTITION-IDENTITIES;
D O I
10.1007/s12044-010-0027-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present alternative proofs of some of Ramanujan's theta function identities associated with the modular equations of composite degree 15. Along the way we also find some new theta-function identities. We also give simple proofs of his modular equations of degree 15.
引用
收藏
页码:267 / 284
页数:18
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