Student Number Theory Seminar

Shouzhen Gu, Department of Pure Mathematics, University of Waterloo

"Roth's Theorem"

Roth's Theorem states that any subset of the integers with positive density will contain three numbers in an arithmetic progression. We will give a proof of Roth's Theorem using Fourier analysis. Then, we will discuss an analogous result in the context of polynomial rings over finite fields that can be proved using the same technique.

MC 5403