Triple
T9843393
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hardy Z-function |
E239280
|
entity |
| Predicate | constructedFrom |
P909
|
FINISHED |
| Object | Riemann–Siegel theta function θ(t) |
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 θ(t) Context triple: [Hardy Z-function, constructedFrom, Riemann–Siegel theta function θ(t)]
-
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.
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D.
Riemann xi function
The Riemann xi function is an entire, symmetrized version of the Riemann zeta function that encodes its nontrivial zeros and plays a central role in the study of the Riemann Hypothesis and related analytic number theory.
-
E.
Ramanujan tau function
The Ramanujan tau function is a multiplicative arithmetic function arising from the Fourier coefficients of a modular discriminant form, central to the study of modular forms and number theory.
- 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_69d1ead49b14819086a9bbd256f298a9 |
ned_source_triple | completed |
Created at: March 30, 2026, 8:33 p.m.