Definition:Cyclotomic Polynomial/Also presented as

Cyclotomic Polynomial: Also presented as

Based on Condition for Complex Root of Unity to be Primitive, the cyclotomic polynomial can also be expressed as:

$\ds \map {\Phi_n} x = \prod_{\substack {1 \mathop \le k \mathop \le n \\ \gcd \set {k, n} = 1} } \paren {x - \map \exp {\frac {2 \pi i k} n} }$