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Definition: Quadratic Residue, Quadratic Nonresidue

Let $m > 0$ be a positive integer. An integer $n\in\mathbb Z$ is called a quadratic residue modulo $m,$ if the congruence $$x^2(m)\equiv n(m)$$ is solvable, otherwise it is called a quadratic nonresidue.


| | | | | created: 2019-05-12 08:45:49 | modified: 2019-05-12 09:34:21 | by: bookofproofs | references: [1272]

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Bibliography (further reading)

[1272] Landau, Edmund: “Vorlesungen ├╝ber Zahlentheorie, Aus der Elementaren Zahlentheorie”, S. Hirzel, Leipzig, 1927