Theorems · Theorem · number theory
gaussSum_one_right
∀ {R : Type u_1} {R' : Type u_2} [inst : CommRing R] [inst_1 : Fintype R] [inst_2 : CommRing R'] [IsDomain R']
{χ : MulChar R R'}, χ ≠ 1 → gaussSum χ 1 = 0The Gauss sum of a nontrivial multiplicative character and the trivial additive character vanishes.
- Defined in
- Mathlib.NumberTheory.GaussSum
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Finset.sumproof · cited by 5,195
- mul_oneproof · cited by 3,885
- Finset.univproof · cited by 3,473
- IsDomainstatement and proof · cited by 2,196
- AddCharstatement · cited by 286
- MulCharstatement and proof · cited by 186
- gaussSumstatement · cited by 29
- MulChar.sum_eq_zero_of_ne_oneproof · cited by 9
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