quadratic character
C22185
concept
A quadratic character is a group homomorphism from a multiplicative group (often of a field or modulo n) to {±1} that indicates whether elements are quadratic residues or non-residues.
All labels observed (2)
| Label | Occurrences |
|---|---|
| generalization of Legendre symbol | 1 |
| quadratic character canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: quadratic character
Generated description
A quadratic character is a group homomorphism from a multiplicative group (often of a field or modulo n) to {±1} that indicates whether elements are quadratic residues or non-residues.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Legendre symbol | — |
| Jacobi symbol | generalization of Legendre symbol |