---
tag: 0YV2CKP2AV
kind: concept
name: Root of unity
msc: [11R18]
sources:
  - url: https://en.wikipedia.org/wiki/Root_of_unity
    locator: lead section
same_as:
  wikidata: Q756747
  wikipedia: Root of unity
---

## Summary

A root of unity is a number whose power with some positive integer exponent is $1$.
In $\mathbb{C}$, the $n$th roots of unity are the $n$ points $e^{2 \pi i k / n}$ on the unit circle. They are the vertices of a regular $n$-gon.