Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
prime numbers
quadratic residues |
| gptkbp:field |
number theory
|
| gptkbp:generalizes |
gptkb:Artin_reciprocity
gptkb:cubic_reciprocity gptkb:quartic_reciprocity higher reciprocity laws |
| https://www.w3.org/2000/01/rdf-schema#label |
quadratic reciprocity
|
| gptkbp:importantFor |
fundamental theorem in elementary number theory
|
| gptkbp:influenced |
class field theory
development of algebraic number theory |
| gptkbp:namedAfter |
reciprocity law
|
| gptkbp:numberOfProofsByGauss |
8
|
| gptkbp:provenBy |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:publishedIn |
gptkb:Disquisitiones_Arithmeticae
|
| gptkbp:relatedTo |
gptkb:Legendre_symbol
gptkb:law_of_quadratic_reciprocity |
| gptkbp:statedIn |
(p/q) = (q/p) * (-1)^{((p-1)/2)((q-1)/2)} for odd primes p, q
|
| gptkbp:yearProved |
1796
|
| gptkbp:bfsParent |
gptkb:Kronecker_symbol
gptkb:Gauss_sums |
| gptkbp:bfsLayer |
5
|