Hall 123

Angular equidistribution of zeros of polynomials

Mithun Kumar Das

IMSc

A classical result of Erd{\"o}s and Tur{\'a}n states that if a monic polynomial has a small size on the unit circle and its constant coefficient is not too small, then its zeros cluster near the unit circle and become equidistributed in angle. I this talk I will discuss the Fourier analytic proof of the angular discrepancy upper bound by K. Soundararajan, and a modification by our `AIM working group'.

Note: This is an in-person seminar. Please follow all covid protocols.