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 characters | Statement: [quadratic reciprocity law, formalizedUsing, Dirichlet characters]

Target entity: Dirichlet characters
Context triple: [quadratic reciprocity law, formalizedUsing, Dirichlet characters]

• 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. Dedekind zeta functions
  Dedekind zeta functions are number-theoretic functions attached to algebraic number fields that encode their arithmetic properties, such as the distribution of prime ideals and class numbers.
• D. Chebyshev functions
  Chebyshev functions are arithmetic functions in number theory that encode information about the distribution of prime numbers and play a key role in analytic approaches to the prime number theorem.
• E. Dirichlet series
  A Dirichlet series is an infinite series of the form ∑ aₙ/nˢ, fundamental in analytic number theory for studying arithmetic functions and L-functions.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: formalizedUsing
Context triple: [quadratic reciprocity law, formalizedUsing, Dirichlet characters]

• A. formalizedUnder
  Indicates that something has been officially established, defined, or codified within the framework, authority, or provisions of a particular formal system, agreement, or institution.
• B. formalization
  Indicates that an informal concept, process, or agreement is being expressed, structured, or codified in a formal, explicit, and often standardized way.
• C. isFormalizedBy
  Indicates that something is given a defined, structured, or official form through a specific method, process, or representation.
• D. formalizedAt
  Indicates the point in time or event at which something is officially established, documented, or given formal status.
• E. formalismType chosen
  Indicates the specific formal system or representational framework in which something (such as a theory, model, or specification) is expressed.
• F. None of above.