Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Szegő limit theorem | Statement: [Szegő, hasNotableMathematicalConceptNamedAfter, Szegő limit theorem]

Target entity: Szegő limit theorem
Context triple: [Szegő, hasNotableMathematicalConceptNamedAfter, Szegő limit theorem]

• A. Szegő limit theorem chosen
  The Szegő limit theorem is a fundamental result in analysis and operator theory that describes the asymptotic behavior of determinants of large Toeplitz matrices in terms of the symbol’s integral.
• B. Szegő polynomials
  Szegő polynomials are a fundamental family of orthogonal polynomials on the unit circle that play a key role in complex analysis, approximation theory, and spectral theory.
• C. Szegő kernel
  The Szegő kernel is a fundamental reproducing kernel in complex analysis and operator theory, associated with Hardy spaces on the boundary of a domain and central to the study of orthogonal polynomials and boundary behavior of analytic functions.
• D. Tauberian theorems
  Tauberian theorems are results in mathematical analysis that connect the behavior of transformed series or integrals (such as those summed by Abel or Cesàro methods) back to the asymptotic behavior or convergence of the original sequences or series.
• E. Fisher–Hartwig conjecture
  The Fisher–Hartwig conjecture is a result in mathematical analysis that predicts the asymptotic behavior of Toeplitz determinants with singular symbols, extending the classical Szegő limit theorem.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: hasNotableMathematicalConceptNamedAfter
Context triple: [Szegő, hasNotableMathematicalConceptNamedAfter, Szegő limit theorem]

• A. hasNotableMathematician
  Indicates that an entity is associated with or linked to a mathematician who is considered notable or distinguished.
• B. hasTheoremNamedAfter chosen
  Indicates that a theorem is named in honor of or after a particular person or entity.
• C. hasAwardNamedAfter
  Indicates that an entity has an award that is named in honor of another entity.
• D. hasNamedAfterPerson
  Indicates that one entity is named in honor of, or derived from the name of, a specific person.
• E. hasNotableMilitaryFigure
  Indicates that an entity is associated with or distinguished by a specific person recognized for significant military role, rank, or achievements.
• F. None of above.