# Category:Multiplicative Functions

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:

- $m \perp n \implies f \left({m n}\right) = f \left({m}\right) f \left({n}\right)$

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

## Subcategories

This category has the following 6 subcategories, out of 6 total.

### C

### E

### S

### T

## Pages in category "Multiplicative Functions"

The following 16 pages are in this category, out of 16 total.