BranchesHistoryHelpLogin
Welcome guest
You're not logged in.
235 users online, thereof 0 logged in

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.

Examples

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

Edit or AddNotationAxiomatic Method

This work was contributed under CC BY-SA 4.0 by:

This work is a derivative of:

(none)

Bibliography (further reading)

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