Quadratic reciprocity
id:
quadratic-reciprocity-212-853898
title:
Quadratic reciprocity
text:
In number theory, the law of quadratic reciprocity is a theorem about modular arithmetic that gives conditions for the solvability of quadratic equations modulo prime numbers. Due to its subtlety, it has many formulations, but the most standard statement is: This law, together with its supplements, allows the easy calculation of any Legendre symbol, making it possible to determine whether there is an integer solution for any quadratic equation of the form x 2 ≡ a mod p for an odd prime p ; that
brand slug:
wiki
category slug:
encyclopedia
description:
Gives conditions for the solvability of quadratic equations modulo prime numbers
original url:
https://en.wikipedia.org/wiki/Quadratic_reciprocity
date created:
2001-10-05T22:55:31Z
date modified:
2024-09-12T07:01:55Z
main entity:
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image:
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fields total:
13
integrity:
16