Acta Mathematica Vietnamica

Print

 

Some Properties, Explicit Evaluations, and Applications of Ramanujan’s Remarkable Product of Theta Functions
Nipen Saikia

 

Abstract

We study several properties of Ramanujan’s remarkable product of theta functions a m,n and establish its connections with some other parameters involving theta-functions. We also show that the explicit values of a m,n can be used to evaluate Ramanujan’s class invariants and some other parameters of theta functions connected with Ramanujan’s continued fractions.

You are here: Home No. 1