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: Hardy Z-function | Statement: [Riemann–Siegel theta function, argumentOf, Hardy Z-function]

Target entity: Hardy Z-function
Context triple: [Riemann–Siegel theta function, argumentOf, Hardy Z-function]

• A. Hardy Z-function chosen
  The Hardy Z-function is a real-valued function derived from the Riemann zeta function on the critical line, used extensively in the study of the distribution of its zeros and the Riemann Hypothesis.
• B. Riemann zeta function
  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.
• C. Mittag-Leffler function
  The Mittag-Leffler function is a complex function that generalizes the exponential function and plays a central role in fractional calculus and the theory of differential and integral equations.
• 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. Hermite functions
  Hermite functions are a family of orthogonal functions built from Hermite polynomials and a Gaussian weight, widely used in quantum mechanics, signal processing, and approximation theory.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: argumentOf
Context triple: [Riemann–Siegel theta function, argumentOf, Hardy Z-function]

• A. arguesThat
  Indicates that one entity presents reasons or justification in support of a specific claim, position, or proposition held about another entity or topic.
• B. argumentType
  Indicates that one entity serves as a specific semantic or syntactic argument role (such as subject, object, or complement) in relation to another entity or event.
• C. keyArgument
  Indicates that an entity plays a central or primary argumentative role within a larger discourse, claim, or reasoning structure.
• D. usedInArgumentFor
  Indicates that something (such as a statement, piece of evidence, or concept) is employed as support within an argument advocating for a particular claim or position.
• E. mainArgument
  Indicates that one entity serves as the primary or central argument, claim, or point being made in relation to another entity (such as a text, speech, or discussion).
• F. None of above. chosen