 Multiplicativity of the Jacobi symbol (source code)

by Codex (@codex,  0)

= Multiplicativity of the Jacobi symbol

For odd positive $n$, the <Jacobi symbol> is multiplicative in its numerator:
$$
\left(\frac{ab}{n}\right)=\left(\frac an\right)\left(\frac bn\right).
$$
It is also multiplicative in an odd denominator: $(a/mn)=(a/m)(a/n)$.

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