Theorems · Theorem · number theory

IsPrimitiveRoot.nthRoots_eq

∀ {R : Type u_4} [inst : CommRing R] [inst_1 : IsDomain R] {n : ℕ} {ζ : R},
  IsPrimitiveRoot ζ n →
    ∀ {α a : R}, α ^ n = a → Polynomial.nthRoots n a = Multiset.map (fun x => ζ ^ x * α) (Multiset.range n)

Defined in

Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots

Cited by

3 results in Mathlib

Foundations

Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingIsDomain