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: Riemann zeta function ζ(s)=L(s,χ₀) for trivial character χ₀ modulo 1 | Statement: [Dirichlet L-functions, hasSpecialCase, Riemann zeta function ζ(s)=L(s,χ₀) for trivial character χ₀ modulo 1]

Target entity: Riemann zeta function ζ(s)=L(s,χ₀) for trivial character χ₀ modulo 1
Context triple: [Dirichlet L-functions, hasSpecialCase, Riemann zeta function ζ(s)=L(s,χ₀) for trivial character χ₀ modulo 1]

• A. Riemann zeta function chosen
  The Riemann zeta function is a complex-valued function central to analytic number theory, whose properties—especially the distribution of its zeros—are deeply connected to the distribution of prime numbers.
• B. Riemann–Siegel formula
  The Riemann–Siegel formula is an asymptotic expression that efficiently approximates the Riemann zeta function on the critical line, playing a key role in the numerical study of its zeros.
• C. Euler product formula for the Riemann zeta function
  The Euler product formula for the Riemann zeta function is a fundamental identity in analytic number theory that expresses the zeta function as an infinite product over all prime numbers, revealing a deep connection between primes and the distribution of integers.
• D. Riemann xi function
  The Riemann xi function is an entire, symmetrized version of the Riemann zeta function that encodes its nontrivial zeros and plays a central role in the study of the Riemann Hypothesis and related analytic number theory.
• E. 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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.