cyclotomic polynomials

A form of cyclotomic polynomial — For a positive integer n, a polynomial whose roots are the primitive nᵗʰ roots of unity, so that its degree is Euler's totient function of n. That is, letting ζₙ=e^(i 2π/n) be the first primitive nᵗʰ root of unity, then Φₙ(x)=∏_( stackrel )1<m<ngcd (n,m)=1(x-ζₙᵐ) is the nᵗʰ such polynomial.

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Meanings

noun
  1. pluralplural of cyclotomic polynomial
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APA

cyclotomic polynomials. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/cyclotomic%20polynomials

MLA

“cyclotomic polynomials.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/cyclotomic%20polynomials. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “cyclotomic polynomials,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/cyclotomic%20polynomials.

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