cubic nonresidue
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Cubic reciprocity — is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence x3 ≡ p (mod q) is solvable; the word reciprocity comes from the form of the main theorem, which states that … Wikipedia
Quadratic reciprocity — The law of quadratic reciprocity is a theorem from modular arithmetic, a branch of number theory, which shows a remarkable relationship between the solvability of certain quadratic equations modulo different prime moduli.Although it allows us to… … Wikipedia
Quadratic residue — In number theory, an integer q is called a quadratic residue modulo n if it is congruent to a perfect square modulo n; i.e., if there exists an integer x such that: Otherwise, q is called a quadratic nonresidue modulo n. Originally an abstract… … Wikipedia
Legendre symbol — The Legendre symbol or quadratic character is a function introduced by Adrien Marie Legendre in 1798 [A. M. Legendre Essai sur la theorie des nombres Paris 1798, p 186] during his partly successful attempt to prove the law of quadratic… … Wikipedia
