Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appearsIn |
gptkb:law_of_quadratic_reciprocity
|
| gptkbp:describes |
quadratic residue
|
| gptkbp:domain |
integers a and odd prime p
|
| gptkbp:equals_-1_if |
a is a non-quadratic residue modulo p
|
| gptkbp:equals_0_if |
a ≡ 0 mod p
|
| gptkbp:equals_1_if |
a is a quadratic residue modulo p and a ≠ 0 mod p
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:generalizes |
gptkb:Kronecker_symbol
Jacobi symbol |
| https://www.w3.org/2000/01/rdf-schema#label |
Legendre symbol
|
| gptkbp:introduced |
gptkb:Adrien-Marie_Legendre
|
| gptkbp:notation |
(a/p)
|
| gptkbp:relatedTo |
gptkb:quadratic_reciprocity
gptkb:Euler's_criterion Jacobi symbol |
| gptkbp:usedFor |
determining solvability of x^2 ≡ a mod p
|
| gptkbp:usedIn |
number theory
|
| gptkbp:valuation |
0
1 -1 |
| gptkbp:bfsParent |
gptkb:Kronecker_symbol
gptkb:Number_theory |
| gptkbp:bfsLayer |
5
|