Theta Function Identities Associated with Ramanujan's Modular Equations of Degree 15

Proceedings Mathematical Sciences

Rupam Barman²  Nayandeep Deka Baruah¹ 

[1] $$;Department of Mathematical Sciences, Tezpur University, Napaam 0, India$$

关键词: Theta function;    elliptic integral;    modular equation;    multiplier.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 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.

【 授权许可】

Unknown