of, or relating to cyclotomy / (mathematics) of, or relating to the complex roots of unity

(mathematics) The branch of mathematics concerned with the complex roots of unity; cyclotomy.

In a cyclotomic manner.

(number theory, algebraic number theory) A number field obtained by adjoining a primitive root of unity to the field of rational numbers.

plural of cyclotomic field

(algebra) 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.

plural of cyclotomic polynomial