Yufei Zhao: Graph Theory and Additive Combinatorics, XIX. Roth’s theorem II: Fourier analytic proof in the integers

The previous lecture in this series is here. The next lecture in this series is here.

This lecture covers Roth’s original proof of Roth’s theorem in the integers, via a Fourier analytic density increment argument. It is recommended to first view the previous lecture where the method is first explained in the easier finite field setting.

These videos are of a lecture course by Yufei Zhao at the Massachusetts Institute of Technology in 2019, and made available as part of its OpenCourseWare initiative. The website for the course may be found here.