Dynamics Lunch: Amichai Lampert (Huji) "Equidistribution of Zeros of Polynomials"

Tue, 19/06/201812:00-13:00
Manchester lounge
A classical theorem of Erdos and Turan states that if a monic polynomial has small values on the unit circle (relative to its constant coefficient), then its zeros cluster near the unit circle and are close to being equidistributed in angle. In February 2018, K. Soundararajan gave a short and elementary proof of their result using Fourier analysis. I'll present this new proof.