Definition:Additive Arithmetic Function
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This page is about Additive Arithmetic Function. For other uses, see Additive Function.
Definition
Let $f : \N \to \C$ be an arithmetic function.
Then $f$ is additive if and only if:
- $m \perp n \implies \map f {m n} = \map f m + \map f n$
Also see
- Results about additive arithmetic functions can be found here.