Category:Cyclotomic Polynomials

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This category contains results about Cyclotomic Polynomials.
Definitions specific to this category can be found in Definitions/Cyclotomic Polynomials.


Let $n \ge 1$ be a natural number.


The $n$th cyclotomic polynomial is the polynomial

$\displaystyle \Phi_n \paren x = \prod_\zeta \paren {x - \zeta}$

where the product runs over all primitive complex $n$th roots of unity, that is, those whose order is $n$.