Cyclotomic integer (source code)

= Cyclotomic integer
{title2=$\mathbb Z[\zeta_n]$}

A cyclotomic integer is an element of $\mathbb Z[\zeta_n]$, where $\zeta_n$ is a <root of unity>. For a primitive $n$-th root, this is the full <ring of integers> of the <cyclotomic field> $\mathbb Q(\zeta_n)$.