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: Abelian theorems | Statement: [Tauberian theorems, relatedConcept, Abelian theorems]

Target entity: Abelian theorems
Context triple: [Tauberian theorems, relatedConcept, Abelian theorems]

• A. Abelian theorems chosen
  Abelian theorems are results in mathematical analysis that deduce the behavior of a transformed function or series from known limiting behavior of the original one, typically in contrast to the inverse direction handled by Tauberian theorems.
• B. Abel’s theorem
  Abel’s theorem is a result in mathematical analysis that relates the behavior of power series at the boundary of their interval of convergence to the limit of their coefficients, providing conditions under which the sum of the series converges to a given value.
• C. Baker’s theory of Abelian functions
  Baker’s theory of Abelian functions is a foundational mathematical work that systematically develops the theory of Abelian functions and their applications in complex analysis and algebraic geometry.
• 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. 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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.