DirichletConvolve

DirichletConvolve[f, g, n, m] gives the Dirichlet convolution of expressions f and g.

Examples

Convolve arithmetic functions:

DirichletConvolve[1, MoebiusMu[n], n, m]
(* DiscreteDelta[m - 1] *)

Identity convolution:

DirichletConvolve[f[n], DiscreteDelta[n - 1], n, m]
(* f[m] *)

Please visit the official Wolfram Language Reference for more details.