Common

Cyclotomic polynomial

Irreducible polynomial whose roots are nth roots of unity

Cyclotomic polynomial

Common card · No. 245104

In mathematics, the n {\displaystyle n} -th cyclotomic polynomial, for any positive integer n {\displaystyle n} , is the unique irreducible polynomial with integer coefficients that is a divisor of x n − 1 {\displaystyle x^{n}-1} and is not a divisor of x k − 1 {\displaystyle x^{k}-1} for any k < n {\displaystyle k<n} . Its roots are all n {\displaystyle n} -th primitive roots of unity e 2 i π k n...

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