Speaker: Sheng-Chi Liu, Associate professor, Washington State University

Date: December 14, 2022

Time: 13:00-14:00

Location: Zoom

Sponsor: School of Mathematics, Shandong University

Abstract:

The function S(t) appears in an asymptotic formula for counting the number of nontrivial zeros of the Riemann zeta function with imaginary part less than t. It was shown by Littlewood that the function has a lot of cancellation on the average over t. Later Selberg studied the moments of S(t) and the moments of the analog function associated with a Dirichlet L-function for a primitive Dirichlet character. A GL(2) analog of Selberg's result was proved by Hejhal and Luo. In this talk we will discuss a GL(3) analog of such results. This is joint work with Shenhui Liu.

For more information, please visit:

http://www.math.sdu.edu.cn/info/1020/18098.htm