$P$--$Q$ "mixed" modular equations of degree 15
Number Theory
2020-05-12 v1
Abstract
Ramanujan in his second notebook recorded total of seven -- modular equations involving theta--function with moduli of orders 1, 3, 5 and 15. In this paper, modular equations analogous to those recorded by Ramanujan are obtained involving his theta--functions and with moduli of orders 1, 3, 5 and 15. As a consequence, several values of quotients of theta--function and a continued fraction of order 12 are explicitly evaluated.
Keywords
Cite
@article{arxiv.2005.04595,
title = {$P$--$Q$ "mixed" modular equations of degree 15},
author = {S. Chandankumar and B. Hemanthkumar},
journal= {arXiv preprint arXiv:2005.04595},
year = {2020}
}