# Mathematical Sciences Research Institute

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# Seminar

Analytic Number Theory Seminar: New bounds for the Chebotarev density theorem February 28, 2017 (02:00 PM PST - 03:00 PM PST)
Parent Program: Analytic Number Theory MSRI: Simons Auditorium
Speaker(s) Jesse Thorner (Stanford University)
Description No Description
Video
The Chebotarev density theorem describes the distribution of prime ideals of a number field K with a given splitting condition'' in a Galois extension.  This result subsumes many classical results in analytic number theory, including the distribution of primes, quadratic residues, primes in arithmetic progressions, and primes that split completely in a Galois extension.  Lagarias and Odlyzko made this distribution effective, but the effective dependence on the Galois extension is prohibitive in many applications.