Triple
T9843389
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hardy Z-function |
E239280
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | Riemann–Siegel theta function |
E239279
|
NE FINISHED |
Disambiguation candidates (1 decision)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Riemann–Siegel theta function Context triple: [Hardy Z-function, relatedTo, Riemann–Siegel theta function]
-
A.
Riemann–Siegel theta function
chosen
The Riemann–Siegel theta function is a special function that appears in the study of the Riemann zeta function, used to express its values on the critical line in a form suitable for high-precision numerical computation.
-
B.
Riemann–Siegel formula
The Riemann–Siegel formula is an asymptotic expression that efficiently approximates the Riemann zeta function on the critical line, playing a key role in the numerical study of its zeros.
-
C.
Riemann zeta function
The Riemann zeta function is a complex-valued function central to analytic number theory, whose properties—especially the distribution of its zeros—are deeply connected to the distribution of prime numbers.
-
D.
Jacobi theta functions
Jacobi theta functions are special functions in complex analysis and number theory that encode modular and elliptic properties, playing a central role in the theory of elliptic functions, modular forms, and various applications in mathematical physics.
-
E.
Dirichlet eta function
The Dirichlet eta function is an alternating Dirichlet series closely related to the Riemann zeta function and used in analytic number theory, particularly for studying series convergence and analytic continuation.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69ca84e3f0c48190ada72a65ebd50efd |
elicitation | completed |
| NER | batch_69cdb35c8e348190aa090c71bf6f30eb |
ner | completed |
| NED1 | batch_69d1d5dda4b0819092703270e87bee5a |
ned_source_triple | completed |
Created at: March 30, 2026, 8:33 p.m.