Revisit to Ramanujan’s modular equations of degree 21

被引：0
作者：
K. R. Vasuki
E. N. Bhuvan
T. Anusha
机构：
[1] University of Mysore,Department of Studies in Mathematics
来源：
Indian Journal of Pure and Applied Mathematics | 2019年 / 50卷
关键词：
Dedekind eta-function; modular equation;
D O I：
暂无
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学科分类号：
摘要：
S. Ramanujan recorded six modular equations of degree 21 in his notebooks without recording proofs. B. C. Berndt proved all these modular equations by using the theory of modular forms. Recently Vasuki and Sharath proved two of them by using tools known to Ramanujan [5]. In this paper, we provide classical proof of remaining four identities.
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页码：1097 / 1105
页数：8
相关论文
共 6 条
  • [1] Baruah N D(2003)On some of Ramanujan’s Schläfli-type “mixed” modular equations J. Number Theory 100 270-294
  • [2] Bhargava S(2003)A new class of modular equations in Ramanujan’s alternative theory of elliptic functions of signature 4 and some new Indian J. Math. 45 23-39
  • [3] Adiga C(2013) eta-function identities J. Number Theory 133 437-445
  • [4] Mahadeva Naika M S(undefined)On Ramanujan’s modular equations of degree 21 undefined undefined undefined-undefined
  • [5] Vasuki K R(undefined)undefined undefined undefined undefined-undefined
  • [6] Sharath G(undefined)undefined undefined undefined undefined-undefined
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