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Quadratic residue

Legendre symbol

For an odd prime $p$,
$$
\left(\frac{ab}{p}\right)=
\left(\frac ap\right)\left(\frac bp\right).
$$
In particular, if $p\nmid a$, then $(a^{-1}/p)=(a/p)$.


Multiplicativity of the Legendre symbol

Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 27 / 1 / c / Solution

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Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 3 / 11H / iii / Solution

Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 3 / 11H / i / Solution

Multiplicativity of the Legendre symbol

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Multiplicativity of the Legendre symbol

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