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: Handbuch der Lehre von der Verteilung der Primzahlen | Statement: [Edmund Landau, notableWork, Handbuch der Lehre von der Verteilung der Primzahlen]

Target entity: Handbuch der Lehre von der Verteilung der Primzahlen
Context triple: [Edmund Landau, notableWork, Handbuch der Lehre von der Verteilung der Primzahlen]

• A. Über die Anzahl der Primzahlen unter einer gegebenen Grösse
  Über die Anzahl der Primzahlen unter einer gegebenen Grösse is Bernhard Riemann’s seminal 1859 paper that introduced the Riemann zeta function and laid the foundations of analytic number theory, including the famous Riemann Hypothesis.
• B. Essai sur la théorie des nombres
  Essai sur la théorie des nombres is a foundational 18th-century treatise on number theory by Adrien-Marie Legendre that systematically developed many key results in the field.
• C. “Le Grand Crible dans la Théorie Analytique des Nombres”
  “Le Grand Crible dans la Théorie Analytique des Nombres” is a foundational monograph in analytic number theory that develops and applies the large sieve method to problems about the distribution of prime numbers and related arithmetic sequences.
• D. Piatetski-Shapiro prime number theorem
  The Piatetski-Shapiro prime number theorem is a result in analytic number theory that establishes the existence of infinitely many primes among the values of certain non-integer power sequences, such as ⌊n^c⌋ for suitable real exponents c.
• E. Chebyshev’s estimates for π(x)
  Chebyshev’s estimates for π(x) are 19th-century bounds on the prime-counting function that showed it grows on the order of x/log x and provided a crucial precursor to the prime number theorem.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Handbuch der Lehre von der Verteilung der Primzahlen
Target entity description: Handbuch der Lehre von der Verteilung der Primzahlen is a classic early 20th-century monograph in analytic number theory that systematically develops the theory of the distribution of prime numbers.

• A. Über die Anzahl der Primzahlen unter einer gegebenen Grösse
  Über die Anzahl der Primzahlen unter einer gegebenen Grösse is Bernhard Riemann’s seminal 1859 paper that introduced the Riemann zeta function and laid the foundations of analytic number theory, including the famous Riemann Hypothesis.
• B. Essai sur la théorie des nombres
  Essai sur la théorie des nombres is a foundational 18th-century treatise on number theory by Adrien-Marie Legendre that systematically developed many key results in the field.
• C. “Le Grand Crible dans la Théorie Analytique des Nombres”
  “Le Grand Crible dans la Théorie Analytique des Nombres” is a foundational monograph in analytic number theory that develops and applies the large sieve method to problems about the distribution of prime numbers and related arithmetic sequences.
• D. Piatetski-Shapiro prime number theorem
  The Piatetski-Shapiro prime number theorem is a result in analytic number theory that establishes the existence of infinitely many primes among the values of certain non-integer power sequences, such as ⌊n^c⌋ for suitable real exponents c.
• E. Chebyshev’s estimates for π(x)
  Chebyshev’s estimates for π(x) are 19th-century bounds on the prime-counting function that showed it grows on the order of x/log x and provided a crucial precursor to the prime number theorem.
• F. None of above. chosen