Explicit Formulas of Delange-Selberg Type for Some Classes of Arithmetic Functions On the Semigroup Gimage Original Research Article

In this paper we give an explicit asymptotic formula for [formula] where h(I, z) = ƒ(I)zF(I). The functions ƒ and F are defined on the multiplicative semigroup Gimage of all non- zero integral ideals of the algebraic number field image and satisfy the conditions (i)-(iv) of the Theorem.