---
tag: 08KEYFAH66
kind: concept
name: Cyclotomic polynomial
msc: [11T22]
sources:
  - url: https://en.wikipedia.org/wiki/Cyclotomic_polynomial
    locator: lead section
same_as:
  wikidata: Q1051983
  wikipedia: Cyclotomic polynomial
---

## Summary

The $n$-th cyclotomic polynomial is the monic polynomial whose roots are the primitive $n$-th roots of unity, each with multiplicity one.
It has integer coefficients.
The [[definition of the cyclotomic polynomials|0W0KVBM54S]] gives the formula.