Theorems · Definition · number theory
jacobiSum
{R : Type u_1} →
{R' : Type u_2} → [inst : CommRing R] → [Fintype R] → [inst_2 : CommRing R'] → MulChar R R' → MulChar R R' → R'The Jacobi sum of two multiplicative characters on a finite commutative ring.
- Defined in
- Mathlib.NumberTheory.JacobiSum.Basic
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- MulCharstatement and proof · cited by 186
Cited by14
Results whose statement or proof uses this declaration.
- jacobiSum_mul_nontrivialstatement and proof · cited by 3
- gaussSum_pow_eq_prod_jacobiSum_auxstatement and proof · cited by 1
- jacobiSum_commstatement · cited by 1
- jacobiSum_eq_sum_sdiffstatement · cited by 1
- jacobiSum_one_nontrivialstatement · cited by 1
- jacobiSum_one_onestatement · cited by 1
- jacobiSum_ringHomCompstatement · cited by 1
- jacobiSum_trivial_trivialstatement · cited by 1
- gaussSum_pow_eq_prod_jacobiSumstatement and proof · cited by 0
- jacobiSum_eq_gaussSum_mul_gaussSum_div_gaussSumstatement and proof · cited by 0
- jacobiSum_mem_algebraAdjoin_of_pow_eq_onestatement · cited by 0
- jacobiSum_mul_jacobiSum_invstatement and proof · cited by 0