Revisit to Ramanujan’s modular equations of degree 21

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 cl...

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Bibliographic Details
Published in:Indian journal of pure and applied mathematics 2019-12, Vol.50 (4), p.1097-1105
Main Authors: Vasuki, K. R., Bhuvan, E. N., Anusha, T.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical analysis
Mathematics
Mathematics and Statistics
Numerical Analysis
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Summary: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.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-019-0376-x