In this paper, we establish several P—Q modular relations for the ratios involving Eisenstein series analogous to those recorded by Ramanujan in his Notebooks. We also introduce a parametrization js ,t for the series involving Eisenstein series and establish several properties of js ,t. As an application, we evaluate several explicit values for the Eisenstein series.
Keywords and Phrases
Eisenstein series; Modular equations.
A.M.S. subject classiﬁcation