Analytic number theory

GPTKB entity

Statements (59)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:fieldOfStudy number theory
gptkbp:hasConcept gptkb:Möbius_function
gptkb:Abel_summation
gptkb:lion
gptkb:Riemann_zeta_function
gptkb:Euler_product
gptkb:Circle_method
gptkb:Sieve_methods
gptkb:Tauberian_theorem
Functional equation
Complex analysis
Analytic continuation
Chebyshev functions
Explicit formula
Mertens function
Perron's formula
Prime-counting function
Residue theorem
Zero-free region
gptkbp:hasSubfield number theory
https://www.w3.org/2000/01/rdf-schema#label Analytic number theory
gptkbp:notableAchievement gptkb:Dirichlet's_theorem_on_arithmetic_progressions
gptkb:Riemann_Hypothesis
gptkb:Goldbach_conjecture_(partial_results)
gptkb:Prime_Number_Theorem
gptkb:Twin_prime_conjecture_(partial_results)
gptkbp:notableBook gptkb:An_Introduction_to_the_Theory_of_Numbers_(Hardy_&_Wright)
gptkb:Analytic_Number_Theory_(Iwaniec_&_Kowalski)
gptkb:Introduction_to_Analytic_Number_Theory_(Apostol)
gptkb:Multiplicative_Number_Theory_(Davenport)
gptkb:The_Theory_of_the_Riemann_Zeta-Function_(Titchmarsh)
gptkbp:notableConference International Mathematical Olympiad
Number Theory and Analysis conferences
gptkbp:notablePerson gptkb:André_Weil
gptkb:Atle_Selberg
gptkb:G._H._Hardy
gptkb:Harald_Bohr
gptkb:John_Edensor_Littlewood
gptkb:Srinivasa_Ramanujan
gptkb:Bernhard_Riemann
gptkbp:notablePublication gptkb:Mathematika
gptkb:Mathematical_Proceedings_of_the_Cambridge_Philosophical_Society
gptkb:Journal_of_Number_Theory
gptkb:Acta_Arithmetica
gptkbp:relatedTo algebraic number theory
modular forms
probabilistic number theory
additive number theory
automorphic forms
multiplicative number theory
gptkbp:studies L-functions
prime numbers
arithmetic functions
distribution of primes
zeta functions
gptkbp:uses methods of mathematical analysis
gptkbp:bfsParent gptkb:lion
gptkbp:bfsLayer 4