Triple

T10388874
Position Surface form Disambiguated ID Type / Status
Subject Basic Number Theory E244837 entity
Predicate hasTopic P531 FINISHED
Object Poisson summation formula E300764 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: Poisson summation formula
Context triple: [Basic Number Theory, hasTopic, Poisson summation formula]
  • A. Poisson summation formula chosen
    The Poisson summation formula is a fundamental result in harmonic analysis that links sums of a function over the integers to sums of its Fourier transform, with deep applications in number theory, signal processing, and physics.
  • B. Euler–Maclaurin summation formula
    The Euler–Maclaurin summation formula is a fundamental result in analysis that connects sums and integrals, providing powerful asymptotic expansions and error estimates for approximating series by integrals.
  • C. Ramanujan’s sum
    Ramanujan’s sum is a number-theoretic function introduced by Srinivasa Ramanujan, expressing certain periodic arithmetic functions as finite trigonometric sums over primitive roots of unity.
  • D. Fourier inversion theorem
    The Fourier inversion theorem is a fundamental result in harmonic analysis that guarantees, under suitable conditions, that a function can be exactly reconstructed from its Fourier transform.
  • E. 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.
  • 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_69d381b5116081908d85227bab6d3c0c elicitation completed
NER batch_69d4e9b40dd8819080ac839487020a44 ner completed
NED1 batch_69d795b2423c8190a7c0e9b6fcbcc6db ned_source_triple completed
Created at: April 6, 2026, 12:05 p.m.