Triple
T30501036
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | van der Corput method for estimating exponential sums |
E776136
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | technique for bounding exponential sums |
C41099
|
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: technique for bounding exponential sums Context triple: [van der Corput method for estimating exponential sums, instanceOf, technique for bounding 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.
analytic number theory technique
chosen
An analytic number theory technique is a method that applies tools from analysis—such as complex functions, series, and integrals—to study and solve problems about integers and their distribution.
-
D.
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.
-
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.
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.