quadratic reciprocity law

URI: https://gptkb.org/entity/quadratic_reciprocity_law

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:concerns	prime numbers quadratic residues
gptkbp:field	number theory
gptkbp:firstPublished	1801
gptkbp:formedBy	gptkb:Carl_Friedrich_Gauss
gptkbp:generalizes	higher reciprocity laws
gptkbp:hasProofsOf	gptkb:Carl_Friedrich_Gauss gptkb:David_Hilbert gptkb:Emil_Artin gptkb:Ernst_Eduard_Kummer gptkb:Leonhard_Euler gptkb:Adrien-Marie_Legendre
gptkbp:hasSupplement	gptkb:first_supplement_to_quadratic_reciprocity second supplement to quadratic reciprocity
https://www.w3.org/2000/01/rdf-schema#label	quadratic reciprocity law
gptkbp:influenced	algebraic number theory class field theory
gptkbp:numberOfProofsByGauss	8
gptkbp:publishedIn	gptkb:Disquisitiones_Arithmeticae
gptkbp:relatedConcept	gptkb:Eisenstein_reciprocity gptkb:Legendre_symbol gptkb:Artin_reciprocity Jacobi symbol
gptkbp:state	relationship between solvability of x^2 ≡ p mod q and x^2 ≡ q mod p for odd primes p and q
gptkbp:bfsParent	gptkb:Artin_reciprocity_law gptkb:Disquisitiones_Arithmeticae
gptkbp:bfsLayer	6