Speaker: Chi Ping, Professor, Xian Jiaotong University

Date: Mar 2, 2022

Time: 21:00-22:00

Location: Tencent Meeting ID: 358 9878 8585

Sponsor: School of Mathematics, Shandong University

Abstract:

A basic question in additive number theory is to study the sumset for suitably arbitrary sets with some prescribed structures. A conjecture of András Sárközy asserts, for all sufficiently large primes, that no sumset with consists of all quadratic residues mod exactly. Sárközy himself proved the ternary analogue of this conjecture, and the original one seems beyond the current techniques. In this talk, we discuss some tight bounds for the possible binary decompositions, which are based on Weil’s bound for complete character sums over finite fields, improving some previous works by I. E. Shparlinski, I. D. Shkredov, and Y.-G. Chen and X.-H. Yan.

This is joint work with Yong-Gao Chen.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/162484.htm