Speaker: Cao Wei, Professor, Doctoral Supervisor, Minnan Normal University

Date: May 12, 2023

Time: 10:30-11:30

Location: Zhixin Building, Block B, 924

Sponsor: School of Mathematics, Shandong University

Abstract:

Wan and Zhang have recently obtained a nontrivial lower bound for the number of zeros of complete symmetric polynomials over finite fields, and proposed a problem whether their bound can be improved. In this talk, I will introduce how to improve Wan-Zhang's bound from three aspects. Our results are based on the estimates related to the number of certain permutations and the value sets of non-permutation polynomials associated to the complete symmetric polynomial.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/179112.htm