Triple

T12597288
Position Surface form Disambiguated ID Type / Status
Subject Poisson summation formula E300764 entity
Predicate relatedTo P37 FINISHED
Object Riemann–Siegel formula E48437 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 formula
Context triple: [Poisson summation formula, relatedTo, Riemann–Siegel formula]
  • A. Riemann–Siegel formula chosen
    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.
  • B. Riemann–Siegel theta function
    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.
  • 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. 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. Euler product formula for the Riemann zeta function
    The Euler product formula for the Riemann zeta function is a fundamental identity in analytic number theory that expresses the zeta function as an infinite product over all prime numbers, revealing a deep connection between primes and the distribution of integers.
  • 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_69d7bdea2ca881908f379526c13b1145 elicitation completed
NER batch_69d954cf33b88190bff339fcd3142cc8 ner completed
NED1 batch_69f65ec75fc08190aa13cbb0161eb35c ned_source_triple completed
Created at: April 9, 2026, 5:08 p.m.