Theorems · Theorem · number theory
mul_gaussSum_inv_eq_gaussSum
∀ {R : Type u} [inst : Field R] [inst_1 : Fintype R] {R' : Type v} [inst_2 : CommRing R'] (χ : MulChar R R')
(ψ : AddChar R R'), χ (-1) * gaussSum χ ψ⁻¹ = gaussSum χ ψ- Defined in
- Mathlib.NumberTheory.GaussSum
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- AddCharstatement and proof · cited by 286
- MulCharstatement and proof · cited by 186
- gaussSumstatement and proof · cited by 29
- AddChar.mulShiftproof · cited by 26
- gaussSum_mulShiftproof · cited by 5
- Units.coe_neg_oneproof · cited by 4
- AddChar.inv_mulShiftproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- gaussSum_mul_gaussSum_pow_orderOf_sub_oneproof · cited by 1