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A GL(3) Analog of Selberg's Result on S(t)

作者:   时间:2022-12-09   点击数:

题目:A GL(3) Analog of Selberg's Result on S(t)

报告人:Sheng-Chi Liu (Washington State University)

摘要: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.

报告人简介:Sheng-Chi Liu is an associate professor at Washington State University, working on number theory, automorphic forms and representation theory.

时间:Dec. 14, 2022, Wednesday, 13:00-14:00

地点:Zoom meeting

联系人:黄炳荣(brhuang@sdu.edu.cn)





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