Speaker:
Changhao Chen
Affiliation:
UNSW Sydney
Date:
Wed, 19/09/2018 - 3:00pm
Venue:
RC-4082, The Red Centre, UNSW
Abstract:
We talk about multiplicative character over finite fields, which is a fundamental topic in analytic number theory. Characters are related to Dirichlet $L$-functions, quadratic residues, primitive roots, and so on. An important and hard problem is to estimate all kinds of character sums. I will talk about a special average of character sums named as Cesaro means, and show that we can remove the logarithmic factor in the Polya-Vinogradov inequality when taking this average. This is based on the speaker’s recent work.