cyclotomic polynomial (English, noun)
expansion: cyclotomic polynomial (plural cyclotomic polynomials)
Senses:
topics: algebra
mathematics
sciences
glosses: 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.
Forms:
form: cyclotomic polynomials
tags: plural