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: Introduction to the Arithmetic Theory of Automorphic Functions | Statement: [Goro Shimura, notableWork, Introduction to the Arithmetic Theory of Automorphic Functions]

Target entity: Introduction to the Arithmetic Theory of Automorphic Functions
Context triple: [Goro Shimura, notableWork, Introduction to the Arithmetic Theory of Automorphic Functions]

• A. Automorphic Forms and Representations
  Automorphic Forms and Representations is a foundational mathematical monograph that develops the theory of automorphic forms and their connections to representation theory and number theory.
• B. Representation Theory and Automorphic Functions
  "Representation Theory and Automorphic Functions" is a seminal mathematical work by Israel Gelfand that develops the connections between representation theory of groups and the theory of automorphic forms, with deep applications in number theory and harmonic analysis.
• C. Euler products for automorphic L-functions
  Euler products for automorphic L-functions are infinite product expansions attached to automorphic representations that encode deep arithmetic information and generalize the classical Euler product of the Riemann zeta function to a broad class of L-functions in the Langlands program.
• D. 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.
• E. Introduction to the Theory of Algebraic Functions of One Variable
  Introduction to the Theory of Algebraic Functions of One Variable is a classic monograph by Claude Chevalley that provides a rigorous, modern foundation for the theory of algebraic function fields in one variable.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Introduction to the Arithmetic Theory of Automorphic Functions
Target entity description: 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.

• A. Automorphic Forms and Representations
  Automorphic Forms and Representations is a foundational mathematical monograph that develops the theory of automorphic forms and their connections to representation theory and number theory.
• B. Representation Theory and Automorphic Functions
  "Representation Theory and Automorphic Functions" is a seminal mathematical work by Israel Gelfand that develops the connections between representation theory of groups and the theory of automorphic forms, with deep applications in number theory and harmonic analysis.
• C. Euler products for automorphic L-functions
  Euler products for automorphic L-functions are infinite product expansions attached to automorphic representations that encode deep arithmetic information and generalize the classical Euler product of the Riemann zeta function to a broad class of L-functions in the Langlands program.
• D. 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.
• E. Introduction to the Theory of Algebraic Functions of One Variable
  Introduction to the Theory of Algebraic Functions of One Variable is a classic monograph by Claude Chevalley that provides a rigorous, modern foundation for the theory of algebraic function fields in one variable.
• F. None of above. chosen