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: Eisenstein series | Statement: [Hecke theory, studies, Eisenstein series]

Target entity: Eisenstein series
Context triple: [Hecke theory, studies, Eisenstein series]

• A. Eisenstein series chosen
  Eisenstein series are special types of complex analytic functions on the upper half-plane (or more general symmetric spaces) that play a central role in the theory of modular and automorphic forms, connecting number theory, representation theory, and harmonic analysis.
• B. Siegel modular form
  A Siegel modular form is a type of complex analytic function defined on the Siegel upper half-space that generalizes classical modular forms to higher dimensions and plays a central role in number theory and algebraic geometry.
• C. Hecke eigenforms
  Hecke eigenforms are special modular forms that are simultaneous eigenfunctions of all Hecke operators, playing a central role in modern number theory and the theory of automorphic forms.
• D. Introduction to the Arithmetic Theory of Automorphic Functions
  Introduction to the Arithmetic Theory of Automorphic Functions is a foundational monograph by Goro Shimura that systematically develops the arithmetic aspects of automorphic forms and their connections to number theory.
• E. Hecke operators
  Hecke operators are algebraic operators acting on modular forms that play a central role in number theory, particularly in understanding congruences, L-functions, and the arithmetic of modular forms.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.