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: Bernoulli numbers | Statement: [Kummer congruences, relatedTo, Bernoulli numbers]

Target entity: Bernoulli numbers
Context triple: [Kummer congruences, relatedTo, Bernoulli numbers]

• A. Bernoulli numbers chosen
  Bernoulli numbers are a sequence of rational numbers that play a central role in number theory and analysis, especially in formulas for sums of powers of integers and in the study of special functions like the Riemann zeta function.
• B. Bernoulli polynomials
  Bernoulli polynomials are a sequence of polynomials deeply connected to number theory and analysis, appearing in the study of special functions, series expansions, and the evaluation of sums of powers of integers.
• C. Carlitz q-Bernoulli numbers
  The Carlitz q-Bernoulli numbers are a q-analogue of the classical Bernoulli numbers introduced by Leonard Carlitz, playing a key role in q-series, special functions, and number theory.
• D. Ramanujan’s sum
  Ramanujan’s sum is a number-theoretic function introduced by Srinivasa Ramanujan, expressing certain periodic arithmetic functions as finite trigonometric sums over primitive roots of unity.
• E. Euler–Maclaurin summation formula
  The Euler–Maclaurin summation formula is a fundamental result in analysis that connects sums and integrals, providing powerful asymptotic expansions and error estimates for approximating series by integrals.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.