Number Theory Home | Number Theory Seminar | Department Home


Texas A&M Number Theory Seminar

Department of Mathematics
Blocker 220
Wednesdays, 1:45–2:45 PM


Sheng-Chi Liu

Washington State University

Wednesday, February 12, 2020

Blocker 220, 1:45PM

Title: A GL_3 Analog of Selberg's Result on S(t)

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.