Origin: Latin suffix -al
Definition, synonyms and related words
For a positive integer n, a polynomial whose roots are the primitive nᵗʰ roots of unity, so that its degree is the Euler's totient function of n. In symbols, 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.