Theorems · Theorem · number theory
jacobiSym.at_two
∀ {b : ℕ}, Odd b → jacobiSym 2 b = ZMod.χ₈ ↑bIf b is odd, then J(2 | b) is given by χ₈ b.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 222 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.χ₈statement and proof · cited by 14
- MulChar.toMonoidHomproof · cited by 7
- jacobiSym.value_atproof · cited by 4
- legendreSym.at_twoproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- jacobiSym.mod_right'proof · cited by 1
- jacobiSym.even_oddproof · cited by 0