cyclotomic polynomial

《代数学引论》 · 第 226 页

$\Phi_n(x)$ 叫做分圆多项式，$E=\mathbb Q(\zeta)$ 叫做 $n$ 次分圆域。

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《Introduction to Geometry (Second Edition)》 · 第 64 页 · Section 2.4「Roots of Unity and Cyclotomic Polynomials」，Definition 2.44

Let $K$ be a field of characteristic $p$, $n$ a positive integer not divisible by $p$, and $\zeta$ a primitive $n$th root of unity over $K$. Then the polynomial $Q_n(x)=\prod_{\substack{s=1\\\gcd(s,n)=1}}^n(x-\zeta^s)$ is called the $n$th cyclotomic polynomial over $K$.