object of analytic number theory
C28450
concept
An object of analytic number theory is a mathematical entity—such as a function, sequence, or set of numbers—studied using tools of analysis (like complex analysis, Fourier analysis, or measure theory) to understand the distribution and properties of integers and related structures.
All labels observed (7)
| Label | Occurrences |
|---|---|
| analytic number theory concept | 1 |
| function in analytic number theory | 1 |
| object of analytic number theory canonical | 1 |
| object of number theory | 1 |
| object of spectral theory | 1 |
| result about Dirichlet L-functions | 1 |
| theorem in multiplicative 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: object of analytic number theory
Generated description
An object of analytic number theory is a mathematical entity—such as a function, sequence, or set of numbers—studied using tools of analysis (like complex analysis, Fourier analysis, or measure theory) to understand the distribution and properties of integers and related structures.
Instances (7)
| Instance | Via concept surface |
|---|---|
| Dirichlet L-functions | — |
| Dirichlet series | analytic number theory concept |
| Selberg–Delange method results | theorem in multiplicative number theory |
| Farey sequence | object of number theory |
| Siegel’s theorem on zeros of L-functions | result about Dirichlet L-functions |
| Riemann xi function | function in analytic number theory |
| Selberg zeta function | object of spectral theory |