Theorems · Theorem · number theory
jacobiSum_trivial_trivial
∀ {F : Type u_1} {R : Type u_2} [inst : Field F] [inst_1 : Fintype F] [inst_2 : CommRing R],
jacobiSum (MulChar.trivial F R) (MulChar.trivial F R) = ↑(Fintype.card F) - 2The Jacobi sum of twice the trivial multiplicative character on a finite field F
equals #F-2.
- Defined in
- Mathlib.NumberTheory.JacobiSum.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Finset.univproof · cited by 3,473
- Finset.cardproof · cited by 2,327
- Finset.sum_congrproof · cited by 2,323
- Fintype.cardstatement and proof · cited by 1,386
- map_mulproof · cited by 1,137
- zero_ne_oneproof · cited by 90
- Finset.subset_univproof · cited by 60
- Finset.card_univproof · cited by 58
Cited by1
Results whose statement or proof uses this declaration.
- jacobiSum_one_oneproof · cited by 1