A parameter for Ramanujan's function \(\chi(q)\): its explicit values and applications
Summary: We define a new parameter \(I_{k,n}\) involving quotient of Ramanujan's function \(\chi(q)\) 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 \(G_n\).
scientific article; zbMATH DE number 6114694