phenomenon in analytic number theory
C24790
concept
A phenomenon in analytic number theory is a recurring pattern or behavior in the distribution or properties of numbers—often primes or arithmetic functions—that is revealed and studied using tools from complex analysis and asymptotic methods.
All labels observed (3)
| Label | Occurrences |
|---|---|
| object in analytic number theory | 2 |
| phenomenon in analytic number theory canonical | 1 |
| probabilistic number theory result | 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: phenomenon in analytic number theory
Generated description
A phenomenon in analytic number theory is a recurring pattern or behavior in the distribution or properties of numbers—often primes or arithmetic functions—that is revealed and studied using tools from complex analysis and asymptotic methods.
Instances (4)
| Instance | Via concept surface |
|---|---|
| Deuring–Heilbronn phenomenon | — |
| Hardy Z-function | object in analytic number theory |
| Erdős–Kac theorem | probabilistic number theory result |
| Selberg zeta function | object in analytic number theory |