DirichletConvolve

DirichletConvolve[f,g,n,m]

gives the Dirichlet convolution of the expressions f and g.

Details

  • The Dirichlet convolution of two functions and is given by .
  • If m is positive, DirichletConvolve[f,g,n,m] can always be evaluated as a finite sum.

Examples

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Basic Examples  (1)

Scope  (1)

Polynomial functions:

Properties & Relations  (1)

KroneckerDelta is an identity element:

Symmetry:

Distributivity with respect to the addition:

Introduced in 2008
 (7.0)