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 character | Statement: [Dirichlet's theorem on arithmetic progressions, relatedTo, Dirichlet character]

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

• A. Dirichlet characters chosen
  Dirichlet characters are completely multiplicative periodic arithmetic functions modulo an integer, fundamental in analytic number theory for constructing Dirichlet L-functions and studying the distribution of primes in arithmetic progressions.
• 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. Hecke characters
  Hecke characters are generalized algebraic number field characters (or Grössencharaktere) that play a central role in class field theory and the study of L-functions.
• D. Dirichlet inverse
  The Dirichlet inverse of an arithmetic function is another arithmetic function that, when combined with the original via Dirichlet convolution, yields the identity function concentrated at 1.
• E. Dirichlet
  Dirichlet was a 19th-century German mathematician renowned for foundational contributions to number theory and mathematical analysis, including Dirichlet's theorem on arithmetic progressions and the formalization of the concept of a function.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.