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: Hecke L-functions | Statement: [Hecke operators, usedToDefine, Hecke L-functions]

Target entity: Hecke L-functions
Context triple: [Hecke operators, usedToDefine, Hecke L-functions]

• A. L-functions chosen
  L-functions are complex analytic functions, often arising from number theory and algebraic geometry, that encode deep arithmetic information and generalize the Riemann zeta function.
• B. Dirichlet L-functions
  Dirichlet L-functions are complex analytic functions built from Dirichlet characters that generalize the Riemann zeta function and play a central role in number theory, particularly in the study of primes in arithmetic progressions.
• C. Artin L-functions
  Artin L-functions are complex analytic functions attached to Galois representations that generalize Dirichlet L-functions and play a central role in number theory and the study of arithmetic properties of fields.
• D. 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.
• E. Rankin–Selberg L-function
  The Rankin–Selberg L-function is an analytic number theory object constructed from pairs of automorphic forms (or representations), encoding deep arithmetic information through their convolution.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.