On Ramanujan's Theta Functions

Print ISSN: 2319-1023

Abstract

In this paper we shall attempt to establish certain Lambert series representations for Ramanujan's theta functions and evaluate certain integrals involving these theta functions with the help of Lambert series representations.

Keywords and Phrases

Basic hypergeometric functions, Lambert series, Ramanujan's theta functions.

A.M.S. subject classification

33A30, 33D15

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