Category:Multiplicative Functions

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

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

Then $f$ is multiplicative if and only if:

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

where $m \perp n$ denotes that $m$ is coprime to $n$.