Triple
T7420144
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Legendre symbol |
E171225
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | multiplicative character modulo p |
C22186
|
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: multiplicative character modulo p Context triple: [Legendre symbol, instanceOf, multiplicative character modulo p]
-
A.
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.
-
B.
L-function
An L-function is a complex analytic function, typically expressed as a Dirichlet series with an Euler product, that encodes deep arithmetic information about objects such as numbers, fields, or algebraic varieties.
-
C.
partition congruence
Partition congruence is an equivalence relation on a set that identifies elements as equivalent precisely when they belong to the same block of a given partition of that set.
-
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.
algebraic number field
An algebraic number field is a finite field extension of the rational numbers, obtained by adjoining to ℚ a root of a nonzero polynomial with rational (or integer) coefficients.
- 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_69c68a625d048190af70eb8b63bec5a0 |
completed | March 27, 2026, 1:47 p.m. |
Created at: March 27, 2026, 3:11 p.m.