Acta Mathematica Vietnamica



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



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.

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