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Theorems · Theorem · number theory

AddChar.IsPrimitive.zmod_char_eq_one_iff

∀ {C : Type v} [inst : CommMonoid C] (n : ℕ) [NeZero n] {ψ : AddChar (ZMod n) C},
  ψ.IsPrimitive → ∀ (a : ZMod n), ψ a = 1 ↔ a = 0

A primitive additive character on ZMod n takes the value 1 only at 0.

Defined in
Mathlib.NumberTheory.LegendreSymbol.AddCharacter
Cited by
1 results in Mathlib
Foundations
Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidNeZero

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