- Turkish Journal of Mathematics
- Vol: 43 Issue: 1
- On a pair of Ramanujan's modular equations and $P$-$Q$ theta functions of level 35
On a pair of Ramanujan's modular equations and $P$-$Q$ theta functions of level 35
Authors : K. R. Vasuki, Anusha T
Pages : 63-80
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Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Theta function, modular equation