The Weyl bound for Dirichlet L-functions

Joint IAS/Princeton University Number Theory Seminar
Topic:The Weyl bound for Dirichlet L-functions
Speaker:Matthew Young
Affiliation:Texas A&M; von Neumann Fellow, School of Mathematics
Date:Thursday, November 7
Time/Room:4:30pm - 5:30pm/Princeton University, Fine 214

In the 1960's, Burgess proved a subconvexity bound for Dirichlet L-functions. However, the quality of this bound was not as strong, in terms of the conductor, as the classical Weyl bound for the Riemann zeta function. In a major breakthrough, Conrey and Iwaniec established the Weyl bound for quadratic Dirichlet L-functions. I will discuss recent work with Ian Petrow that generalizes the Conrey-Iwaniec bound for arbitrary Dirichlet characters.