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.
