Source: wikibot/quartic-reciprocity
= Quartic reciprocity
{wiki=Quartic_reciprocity}
Quartic reciprocity is a concept in number theory that extends the ideas of quadratic reciprocity to higher powers, specifically to quartic residues. Just as quadratic reciprocity provides conditions under which two primes can be classified as quadratic residues or non-residues, quartic reciprocity deals with congruences of the form \\(x^4 \\equiv a \\mod p\\).