Abstract:
We present a range of new sum-product type estimates in finite fields FqFq, where qq is a prime power. We then outline how these estimates lead to explicit bounds on exponential sums over multiplicative subgroups in FqFq. In particular, these bounds improve and complement results of Bourgain and Glibichuk (2011) and Zhelezov (2017).
Speaker
Ali Mohammadi
Research Area
Number Theory Seminar
Affiliation
Sydney University
Date
Wed, 18/04/2018 - 3:00pm
Venue
RC-4082, The Red Centre, UNSW