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Graduate Student Combinatorics Seminar Sponsored by DIMACS

Burgess' bound on character sums

Vishwas Bhargava, Rutgers

Location:  GSL - Hill 701
Date & time: Wednesday, 23 October 2019 at 12:15PM - 1:15PM

Abstract: Finding the least quadratic non-residue in a finite field is of great interest in number theory, Additive Combinatorics, and Theoretical computer science. We will look into a state-of-the-art bound for this which was proved by Burgess in 1963. It is a smart proof with lots of open problems around it. Time permitting, I will also discuss some recent developments.