Category:Dirichlet Convolution

This category contains results about Dirichlet Convolution.

The Dirichlet convolution of $f$ and $g$ is the arithmetic function:

$\ds \map {\paren {f * g} } n = \sum_{d \mathop \divides n} \map f d \map g {\frac n d}$

where the summation runs over the set of positive divisors $d$ of $n$.