concept in number theory
C19254
concept
A concept in number theory is an abstract idea or construct that describes properties, relationships, or structures involving integers and related numerical systems.
All labels observed (14)
| Label | Occurrences |
|---|---|
| concept in number theory canonical | 6 |
| number theory concept | 6 |
| concept in analytic number theory | 4 |
| subfield of number theory | 4 |
| algebraic number theory concept | 3 |
| branch of analytic number theory | 1 |
| function in number theory | 1 |
| method in number theory | 1 |
| notion in number theory | 1 |
| number-theoretic congruence | 1 |
| research area in number theory | 1 |
| theory of arithmetic | 1 |
| tool in number theory | 1 |
| topic in number theory | 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: concept in number theory
Generated description
A concept in number theory is an abstract idea or construct that describes properties, relationships, or structures involving integers and related numerical systems.
Instances (32)
| Instance | Via concept surface |
|---|---|
| Fermat number | — |
| Multiplicative Number Theory | branch of analytic number theory |
| Hasse principle | — |
| Hasse invariant | notion in number theory |
| Diophantine geometry | subfield of number theory |
| Selberg class | concept in analytic number theory |
| Lambert series | — |
| Lucas sequences | number theory concept |
| Pisano period | number theory concept |
| Peano arithmetic | theory of arithmetic |
| Kummer congruences | number-theoretic congruence |
| Dirichlet hyperbola method | method in number theory |
| Hermite normal form | — |
| Fermat pseudoprime | number theory concept |
| Carmichael number | number theory concept |
| analytic number theory | subfield of number theory |
| algebraic number theory | subfield of number theory |
| Sylvester sequence | number theory concept |
| Bombieri norm | concept in analytic number theory |
| Diophantine equations | topic in number theory |
| moonshine theory | research area in number theory |
| Jacobi sums | algebraic number theory concept |
| Siegel zero | concept in analytic number theory |
| Herbrand function | function in number theory |
| Dirichlet density | concept in analytic number theory |
|
CM fields
surface form:
CM field
|
algebraic number theory concept |
| Herbrand quotient | algebraic number theory concept |
| Witt vectors | tool in number theory |
| Brun combinatorial sieve | number theory concept |
| Langlands dual group | — |
| algorithmic number theory | subfield of number theory |
| Frey curve construction | — |