On some P-Q modular equations of degree 45
DOI:
https://doi.org/10.22199/issn.0717-6279-4956Keywords:
theta functions, modular equationsAbstract
On page 330 of his second notebook, Srinivasa Ramanujan recorded a P-Q modular equation of degree 45, proof of which has been given by Bruce C. Berndt via theory of modular forms. We in this paper, give a simple proof of the same using the identities of Ramanujan and also establish few new P-Q modular equations of degree 45. Further using these, we establish certain new modular equations of signature 3.
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