A Parameter for Ramanujan's Function χ(q): Its Explicit Values and Applications. (14th August 2012) - Saikia, Nipen
Abstract : We define a new parameter I k, n involving quotient of Ramanujan's function χ ( q ) for positive real numbers k and n and study its several properties. We prove some general theorems for the explicit evaluations of the parameter I k, n and find many explicit values. Some values of I k, n are then used to find some new and known values of Ramanujan's class invariant G n .