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 cancellations on the average over t. 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.
2023-07-25 10:30 ~ 2023-07-25 11:30
Prof. Sheng-Chi Liu (Washington State University)
Lecture Room B, 4F, General Building III