Category:Additive Arithmetic Functions

This category contains results about Additive Arithmetic Functions.
Definitions specific to this category can be found in Definitions/Additive Arithmetic Functions.

Let $f : \N \to \C$ be an arithmetic function.

Then $f$ is additive if and only if:

$m \perp n \implies \map f {m n} = \map f m + \map f n$