On some P-Q modular equations of degree 45
Author
Sharath, G.
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/495610.22199/issn.0717-6279-4956
Abstract
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.