Definition:Quadratic Residue/Character
< Definition:Quadratic Residue(Redirected from Definition:Quadratic Character)
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Definition
Let $p$ be an odd prime.
Let $a \in \Z$ be an integer such that $a \not \equiv 0 \pmod p$.
$a$ is either a quadratic residue or a quadratic non-residue of $p$.
Whether it is or not is known as the quadratic character of $a$ modulo $p$.
Also see
Therefore it is sufficient to consider the quadratic character of the non-zero least positive residues modulo $p$.