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: mock theta conjectures | Statement: [Ramanujan’s lost notebook, relatedTo, mock theta conjectures]

Target entity: mock theta conjectures
Context triple: [Ramanujan’s lost notebook, relatedTo, mock theta conjectures]

• A. mock theta functions chosen
  Mock theta functions are a class of q-series introduced by Srinivasa Ramanujan that exhibit mysterious modular-like behavior and play a key role in modern number theory and the theory of modular forms.
• B. abc conjecture
  The abc conjecture is a deep and influential unsolved problem in number theory that predicts a surprising relationship between the prime factors of three integers a, b, and c satisfying a + b = c, with far-reaching consequences for many Diophantine equations.
• C. Ramanujan–Petersson conjecture
  The Ramanujan–Petersson conjecture is a fundamental statement in number theory and the theory of modular forms that predicts strong bounds on the Fourier coefficients of modular cusp forms, with deep connections to automorphic forms and the Langlands program.
• D. reciprocity conjecture
  The reciprocity conjecture is a far-reaching set of ideas in number theory and representation theory that generalizes classical reciprocity laws by relating Galois groups to automorphic forms within the Langlands program.
• E. Beal conjecture
  The Beal conjecture is an unsolved problem in number theory proposing that if A^x + B^y = C^z with A, B, C, x, y, z positive integers and exponents greater than 2, then A, B, and C must share a common prime factor.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.