Random values of polynomials and random walks on groups
Speaker: Brad Rodgers (Queen's University)
Abstract: Littlewood polynomials are polynomials with all coefficients +1 or -1. It is natural to ask what sort of functions can be approximated by these polynomials, with motivations coming from analysis, number theory, and even signal processing. I will explain some of background and recent work around these problems and discuss in particular the special sequence of Rudin-Shapiro polynomials. I hope to explain how some old conjectures of Saffari and Montgomery were resolved by exploiting a surprising connection to random walks on groups.
Math&Stats Zoom Room
This is part of the Department of Mathematics & Statistics Colloquium series.