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What is a precise statement for the Law of Quadratic Reciprocity?

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What is a precise statement for the Law of Quadratic Reciprocity?

Mar 31st, 2015

Law of reciprocity" redirects here. For the philosophical concept known as the "ethic of reciprocity", see Golden rule

In number theorem, the law of quadratic reciprocity is a theorem about modular arithmetic that gives conditions for the solvability of quadratic equetions modulo prime numbers. There are a number of equivalent statement of the theorem. One version of the law states that

for p and q odd prime numbers, and denoting the legendre symbols.


Mar 31st, 2015

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