quadraticReciprocity
P76850
predicate
Indicates that a specified relationship between two integers reflects the law of quadratic reciprocity, describing how the solvability of one integer as a quadratic residue modulo the other is reciprocally related.
All labels observed (1)
| Label | Occurrences |
|---|---|
| quadraticReciprocity canonical | 2 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: quadraticReciprocity
Generated description
Indicates that a specified relationship between two integers reflects the law of quadratic reciprocity, describing how the solvability of one integer as a quadratic residue modulo the other is reciprocally related.
Sample triples (2)
| Subject | Object |
|---|---|
| Legendre symbol | (p/q)(q/p)=(-1)^{(p-1)(q-1)/4} for odd primes p,q ⓘ |
| Jacobi symbol | (a/n)(n/a)=(-1)^{((a-1)/2)((n-1)/2)} for odd coprime a,n ⓘ |