Number Theory Seminar

Date: October 15, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 624

Speaker: Matt Young, Texas A&M University

Title: The Weyl bound for Dirichlet L-functions

Abstract: The problem of estimating central values of L-functions has attracted a great deal of attention for many decades. The case of Dirichlet L-functions, which one might expect to be one of the simpler families of L-functions, has turned out to be unexpectedly difficult. In the 1960's, Burgess proved a non-trivial bound that has only been improved in some special cases. Notably, Conrey and Iwaniec obtained an improvement in the case that the Dirichlet character is real-valued. I will discuss a similar-quality improvement valid for any Dirichlet character of cube-free conductor. This is joint work with Ian Petrow.

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