Analytic Number Theory

In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Peter Gustav Lejeune Dirichlet's introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic progressions. Another major milestone in the subject is the prime number theorem.Analytic number theory can be split up into two major parts, divided more by the type of problems they attempt to solve than fundamental differences in technique.
Posts about Analytic Number Theory
  • 2015 Breakthrough Prizes Winners Announced

    … Angeles, for numerous breakthrough contributions to harmonic analysis, combinatorics, partial differential equations and analytic number theory. Richard Taylor, Institute for Advanced Study, for numerous breakthrough results in the theory of automorphic forms, including the Taniyama-Weil conjecture, the local Langlands conjecture for general linear…

    David Cohen/ AllFacebookin Google- 11 readers -
Get the top posts daily into your mailbox!
Topics
See more
23andme Algebraic Geometry Benedict Cumberbatch Brian P. Schmidt Bruno Leibundgut C. David Allis Cameron Diaz Carl R. Pennypacker Conicet Craig J. Hogan David Reiss Discovery Channel Donald E. Groom Eddie Redmayne Emmanuelle Charpentier Fundamental Physics Gary Ruvkun Google Greg Aldering Harvard Medical School Heidi J.M. Newberg Helmholtz Center For Infection Research High Z Supernova Team Horacio Casini Howard Hughes Medical Institute Institut Des Hautes études Scientifiques Institute For Advanced Study Instituto Balseiro Isobel M. Hook Jack Ma Jacob Lurie Harvard University Jason Spyromilio Jennifer Doudna John Tonry Jon Hamm Joseph Fourier University Julia C. Lee Julia Milner Kate Beckinsale Kyoto University Lawrence Berkeley National Labaratory Lawrence Berkeley National Laboratory Marina Huerta Mark M. Phillips Mark Zuckerberg Massachusetts General Hospital Mathematics Matthew Y. Kim Maxim Kontsevich Mike Irwin Natalia Toro Nelson J. Nunes Nicholas B. Suntzeff Nicholas Walton Nino Panagia Patricia G. Castro Perimeter Institute Peter Challis Peter M. Garnavich Peter Nugent Philip C. Schuster Pilar Ruiz Lapuente Priscilla Chan R. Chris Smith Reynald Pain Richard G. Mcmahon Richard Muller Richard S. Ellis Richard Taylor Robert A. Knop Robert P. Kirshner Robert Quimby Ron L. Gilliland Saul Perlmutter Saurabh Jha Science Channel Sean Hartnoll Sebastien Fabbro Sergey Brin Seth Macfarlane Shinsei Ryu Simon Donaldson Space Telescope Science Institute Stanford University Stony Brook University Supernova Cosmology Project Susana Deustua Tadashi Takayanagi Television Terence Tao The Rockefeller University Thomas Matheson Ucla Umeå University Universidad Nacional De Cuyo University Of California Berkeley University Of California Los Angeles Victor Ambros Warrick J. Couch Yuri Milner