Seminar series
Date
Tue, 25 Oct 2016
14:30
14:30
Location
L6
Speaker
Thomas Bloom
Organisation
University of Bristol
In joint work with Olof Sisask, we establish new quantitative bounds for Roth's theorem on arithmetic progressions, showing that a set of integers with no three-term arithmetic progressions must have density O(1/(log N)^{1+c}) for some absolute constant c>0. This is the integer analogue of a result of Bateman and Katz for the model setting of vector spaces over a finite field, and the proof follows a similar structure.