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: Hasse–Weil zeta function | Statement: [Grothendieck–Ogg–Shafarevich formula, isRelatedTo, Hasse–Weil zeta function]

Target entity: Hasse–Weil zeta function
Context triple: [Grothendieck–Ogg–Shafarevich formula, isRelatedTo, Hasse–Weil zeta function]

• A. Hasse–Weil zeta function chosen
  The Hasse–Weil zeta function is an analytic object in number theory that encodes arithmetic information about algebraic varieties over number fields, generalizing the Riemann zeta function and playing a central role in modern arithmetic geometry and conjectures like the Weil conjectures and the Birch–Swinnerton-Dyer conjecture.
• B. 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.
• C. Selberg zeta function
  The Selberg zeta function is an analytic function associated with the lengths of closed geodesics on a Riemannian manifold, playing a central role in spectral theory and the study of automorphic forms.
• D. 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.
• E. Weil conjectures
  The Weil conjectures are a set of deep statements about the zeta functions of algebraic varieties over finite fields that guided the development of modern algebraic geometry and were ultimately proved using étale cohomology.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.