Video library: K. M. Tsang, On some mean values for the divisor function and the Riemann zeta-function

VIDEO LIBRARY


А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications May 24, 2017 10:00, Moscow, Steklov Mathematical Institute

On some mean values for the divisor function and the Riemann zeta-function K. M. Tsang The University of Hong Kong, Faculty of Science, Department of Mathematics
Abstract: Let $\Delta(x)$ and $E(x)$ denote respectively the error terms in the summatory formula for the divisor function and the mean square formula for $\zeta (s)$ on the critical line. In this talk we shall discuss some general mean values for $\Delta(x)$ and $E(x)$. From these mean value results, we observe intrinsic difference between these two functions, which suggests that $E(x)$ is more negative then $\Delta(x)$. Language: English