IsPrimitiveRoot.geom_sum_eq_zero

∀ {R : Type u_4} {k : ℕ} [inst : CommRing R] [IsDomain R] {ζ : R},
  IsPrimitiveRoot ζ k → 1 < k → ∑ i ∈ Finset.range k, ζ ^ i = 0

If 1 < k then (∑ i ∈ range k, ζ ^ i) = 0.

Defined in: Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots
Cited by: 2 results in Mathlib
Foundations: Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing IsDomain

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