---
tag: 0NTWN57GM3
kind: concept
name: Multiplicative function
msc: [11A25]
sources:
  - url: https://en.wikipedia.org/wiki/Multiplicative_function
    locator: lead section
same_as:
  wikidata: Q1048447
  wikipedia: Multiplicative function
---

## Summary

A multiplicative function is an arithmetic function with $f(1) = 1$ that takes products of coprime integers to products of values.
The [[definition of a multiplicative function|0AP80TT660]] gives the precise form.