Eisenstein Series Identity of Level Three

Authors : E. N. Bhuvan & B. V. Dhananjayamurthy

Abstract

Srinivasa Ramanujan has recorded several Eisenstein series identities of different levels in his lost notebooks. In this paper, using Ramanujan’s theta function identities of level three, we derive two Eisenstein series identities of level three. Eisenstein series is a very important tool for studying elliptic functions and modular forms.

Key words : Dedekind eta-function, modular equation, Eisenstein series.