Thu, 05 Jun 2014
16:00 -
17:00
L5
An alternative approach to analytic number theory
Andrew Granville
(University of Montreal)
Abstract
For the last few years Soundararajan and I have been developing an alternative "pretentious" approach to analytic number theory. Recently Harper established a more intuitive proof of Halasz's Theorem, the key result in the area, which has allowed the three of us to provide new (and somewhat simpler) proofs to several difficult theorems (like Linnik's Theorem), as well as to suggest some new directions. We shall review these developments in this talk.