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Turkish Journal of Mathematics

DOI

10.3906/mat-1805-51

Abstract

S. Ramanujan recorded several modular equations and $P$-$Q$ theta function identities in his notebooks and lost notebook without recording the proofs. In this paper, we provide an elementary proof of two modular equations and two $P$-$Q$ theta function identities of level 35, which have been proved by B.C. Berndt using the theory of modular forms.

First Page

63

Last Page

80

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