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## Definition: Arithmetic Function

A function $f:\mathbb Z \mapsto \mathbb C$ is called arithmetic (another name: number-theoretic).

### Notes

• The domain of arithmetic functions is the set of integers $\mathbb Z.$
• The codomain of arithmetic functions can be integers $\mathbb Z,$ real numbers $\mathbb R,$ or even complex numbers $\mathbb C.$

| | | | | created: 2019-03-17 18:08:16 | modified: 2020-07-12 09:40:42 | by: bookofproofs | references: [701], [1272]