jacobiSym.eq_zero_iff_not_coprime

∀ {a : ℤ} {b : ℕ} [NeZero b], jacobiSym a b = 0 ↔ a.gcd ↑b ≠ 1

The symbol J(a | b) vanishes iff a and b are not coprime (assuming b ≠ 0).

Defined in: Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol
Cited by: 3 results in Mathlib
Foundations: Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NeZero

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