Theorems · Theorem · number theory
gaussSum_one_left
∀ {R : Type u_1} {R' : Type u_2} [inst : Field R] [inst_1 : Fintype R] [inst_2 : CommRing R'] [IsDomain R']
{ψ : AddChar R R'}, ψ ≠ 1 → gaussSum 1 ψ = -1The Gauss sum of the trivial multiplicative character and a nontrivial additive character,
over a finite field, is -1.
- Defined in
- Mathlib.NumberTheory.GaussSum
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
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- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- AddCommMonoidproof · cited by 12,281
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Finset.sumproof · cited by 5,195
- mul_oneproof · cited by 3,885
- Compl.complproof · cited by 2,925
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- Finset.sum_congrproof · cited by 2,323
- IsDomainstatement and proof · cited by 2,196
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