Triple
T30500990
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | van der Corput inequality |
E776135
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | tool in the theory of exponential sums |
C57082
|
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: tool in the theory of exponential sums Context triple: [van der Corput inequality, instanceOf, tool in the theory of exponential sums]
-
A.
exponential sum
An exponential sum is a finite or infinite sum of complex exponentials, typically of the form \(\sum a_n e^{2\pi i f(n)}\), used to study oscillatory behavior and distribution properties in number theory and analysis.
-
B.
circle method
The circle method is an analytic number theory technique that uses integration over the unit circle in the complex plane to estimate the number of representations of integers by various arithmetic functions.
-
C.
result in additive number theory
A result in additive number theory is a theorem or proposition that describes how integers can be expressed as sums of other integers, often revealing structural or combinatorial properties of sets under addition.
-
D.
theory of polynomial sequences
A theory of polynomial sequences studies families of polynomials indexed by integers (or other discrete parameters), analyzing their algebraic, combinatorial, and analytic properties and the relations between successive terms.
-
E.
result in probabilistic number theory
A result in probabilistic number theory is a theorem or statement that describes the typical or average behavior of arithmetic objects (such as integers, primes, or multiplicative functions) using probabilistic models and methods.
- F. None of above. chosen
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_69f22498c5d481908aaea89e6fab8280 |
completed | April 29, 2026, 3:32 p.m. |
Created at: April 29, 2026, 8:14 p.m.