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International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin
October 9, 2018 11:50–12:40, Moscow, Steklov Mathematical Institute of RAS, Conference hall, 9th floor

Extreme values of the Riemann zeta function and its argument

K. Seip
 Video records: MP4 1,376.2 Mb MP4 626.4 Mb

Abstract: It is of central importance in the theory of the Riemann zeta function $\zeta(s)$ to have as precise information as possible about the size of $\zeta(1/2+it)$ and its argument. I will present lower estimates for the growth of these two functions, giving the first improvement of the order magnitude since 1977. The talk is based on joint work with Andriy Bondarenko.