Article ID Journal Published Year Pages File Type
4623757 Journal of Mathematical Analysis and Applications 2006 16 Pages PDF
Abstract

Ramanujan derived 23 beautiful eta-function identities, which are certain types of modular equations. We found more than 70 of certain types of modular equations by using Garvan's Maple q-series package. In this paper, we prove some new modular equations which we found by employing the theory of modular form and we give some applications for them.

Related Topics
Physical Sciences and Engineering Mathematics Analysis