Theorems · Theorem · number theory
jacobiSym.at_neg_one
∀ {b : ℕ}, Odd b → jacobiSym (-1) b = ZMod.χ₄ ↑bIf b is odd, then J(-1 | b) is given by χ₄ b.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Nat.Primeproof · cited by 2,059
- ZModstatement · cited by 1,024
- Oddstatement and proof · cited by 364
- MulCharstatement · cited by 186
- jacobiSymstatement · cited by 44
- ZMod.χ₄statement and proof · cited by 27
- MulChar.toMonoidHomproof · cited by 7
- jacobiSym.value_atproof · cited by 4
- legendreSym.at_neg_oneproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- qrSign.neg_one_powproof · cited by 4
- jacobiSym.negproof · cited by 1