Triple

T14334379
Position Surface form Disambiguated ID Type / Status
Subject Ramanujan tau function E355432 entity
Predicate instanceOf P0 FINISHED
Object Fourier coefficient function C24992 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: Fourier coefficient function
Context triple: [Ramanujan tau function, instanceOf, Fourier coefficient function]
  • A. correlation function
    A correlation function is a mathematical tool that quantifies how strongly and in what way two variables or values of a field at different points in space or time are related to each other.
  • 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. arithmetical function chosen
    An arithmetical function is a function defined on the positive integers that assigns to each integer a (usually complex or real) value, often encoding number-theoretic properties such as divisors, primes, or multiplicative structure.
  • D. Euclidean correlation function
    A Euclidean correlation function is a Green’s function defined in Euclidean (imaginary-time) spacetime that encodes the correlations between field operators at different points and is related to physical, real-time correlation functions by analytic continuation.
  • E. Dirichlet series
    A Dirichlet series is an infinite series of the form ∑ₙ₌₁^∞ aₙ n^(-s), where s is a complex variable and aₙ are complex coefficients, used extensively in analytic number theory to study arithmetic functions and L-functions.
  • F. None of above.

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_69d8278fa2108190bc0d0e7939c1eb03 completed April 9, 2026, 10:26 p.m.
Created at: April 10, 2026, 1:13 a.m.