Number Theory Seminar

Event Type: Seminar/Symposium
Sponsor: Number Theory Research Group
Location: Zoom
Date: Sep 27, 2022 11:00 am - 12:00 pm
Speaker: Daodao Yang ( Graz University of Technology )
Contact: Alexandru Zaharescu
E-Mail: zaharesc@illinois.edu
Views: 45; Large values of derivatives of the Riemann zeta function and related problems

Abstract: Resonance methods are useful tools to produce large values of the Riemann zeta-function and L-functions. GCD sums are one of important ingredients. I will talk on producing large values of derivatives of zeta and L-functions via resonance methods. The related ingredients, log-type GCD sums will be discussed. On the other hand, I will talk on conditional upper bounds and asymptotic formulas when assuming RH (GRH) and a conjecture of Granville-Soundararajan on character sums.

General Events - Department of Mathematics