Louis-Pierre Arguin University of Oxford

Large Values of the Riemann Zeta Function: A Probabilistic Journey


The interplay between probability theory and analytic number theory has a rich history of producing deep results and conjectures. Important instances are the works of Erdős, Kac, Selberg, Montgomery, Soundararajan and Granville, to name a few. This talk will review recent results in this spirit where the insights of probability have led to a better understanding of large values of the Riemann zeta function on the critical line. This is based in part on joint works with Emma Bailey, and with Paul Bourgade & Maksym Radziwiłł.