Revisit to Ramanujan’s modular equations of degree 21

K. R. Vasuki (), E. N. Bhuvan () and T. Anusha ()
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K. R. Vasuki: University of Mysore
E. N. Bhuvan: University of Mysore
T. Anusha: University of Mysore

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 4, 1097-1105

Abstract: Abstract 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.

Keywords: Dedekind eta-function; modular equation (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0376-x

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