Skip to content
Texas A&M University
Mathematics

Number Theory Seminar

Date: December 3, 2018

Time: 11:00AM - 12:00PM

Location: BLOC 220

Speaker: Madeline Locus Dawsey, Emory University

  

Title: Densities of subsets of prime numbers

Abstract: Thanks to the Prime Number Theorem, a lot is known about the distribution of prime numbers. In particular, one can ask whether the methods from analytic number theory yield formulas for densities of subsets of prime numbers. One famous instance of this is the strong form of Dirichlet's famous theorem on primes in arithmetic progressions. Here, we give new formulations of Dirichlet's Theorem, and more generally the Chebotarev Density Theorem, by offering completely new formulas expressing densities of suitable subsets of prime numbers. Our work can be thought of as the non-abelian extension of a theorem of Alladi from the 1970s.

URL: Link