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: Dirichlet L-function | Statement: [Dirichlet's theorem on arithmetic progressions, relatedTo, Dirichlet L-function]

Target entity: Dirichlet L-function
Context triple: [Dirichlet's theorem on arithmetic progressions, relatedTo, Dirichlet L-function]

• A. Dirichlet L-functions chosen
  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.
• B. L-functions
  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.
• C. 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.
• D. Dirichlet beta function
  The Dirichlet beta function is a special function in analytic number theory defined by an alternating series over odd integers and closely connected to values of the Riemann zeta function and properties of L-functions.
• E. Liouville function
  The Liouville function is a completely multiplicative arithmetic function that assigns values based on the parity of the total number of prime factors of an integer, playing a key role in analytic number theory and the study of prime distribution.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.