DirichletTransform

DirichletTransform[expr, n, s] gives the Dirichlet transform of expr with respect to n.

Examples

Transform of a constant:

DirichletTransform[1, n, s]
(* Zeta[s] *)

Transform of n^k:

DirichletTransform[n^2, n, s]
(* Zeta[s - 2] *)

Please visit the official Wolfram Language Reference for more details.