Triple
T12597028
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet series |
E300759
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | analytic number theory concept |
C28450
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: analytic number theory concept Context triple: [Dirichlet series, instanceOf, analytic number theory concept]
-
A.
object of analytic number theory
chosen
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.
-
B.
phenomenon in analytic number theory
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.
-
C.
identity in analytic number theory
Identity in analytic number theory is a rigorously proven equality, often involving series, integrals, or arithmetic functions, that reveals structural relationships between number-theoretic objects and underpins analytic techniques such as transforms, convolutions, and explicit formulas.
-
D.
concept in number theory
A concept in number theory is an abstract idea or construct that describes properties, relationships, or structures involving integers and related numerical systems.
-
E.
arithmetical function
An arithmetical function is a function defined on the positive integers that assigns to each integer a (usually complex or real) value, often encoding number-theoretic properties such as divisors, primes, or multiplicative structure.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d7bdea2ca881908f379526c13b1145 |
completed | April 9, 2026, 2:55 p.m. |
Created at: April 9, 2026, 5:08 p.m.