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arXiv · 1907.01634

On some P-Q mixed modular equations of degree 5

M. S. Mahadeva Naika·S. Chandankumar·M. Harish
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Abstract

In his second notebook, Ramanujan recorded total of 23 P-Q modular equations involving theta-functions $f(-q)$, $\varphi(q)$ and $\psi(q)$. In this paper, modular equations analogous to those recorded by Ramanujan are obtained involving $f(-q)$. As a consequence, values of certain quotients of theta-function are evaluated.

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M. S. Mahadeva Naika, S. Chandankumar, M. Harish. 2019-06-25. On some P-Q mixed modular equations of degree 5. https://doi.org/10.17777/pjms2020.23.3.305

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