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Theorems · Theorem · number theory

jacobiSym.at_two

∀ {b : ℕ}, Odd b → jacobiSym 2 b = ZMod.χ₈ ↑b

If b is odd, then J(2 | b) is given by χ₈ b.

Defined in
Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol
Cited by
2 results in Mathlib
Foundations
Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound

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