THE FYODOROV-HIARY-KEATING CONJECTURE

Abstract: Fyodorov-Hiary-Keating established a series of conjectures concerning large values of the Riemann zeta function in a random short interval. After reviewing the origins of these predictions through the random matrix analogy, I will explain recent work with Louis-Pierre Arguin and Maksym Radziwill, which proves a strong form of the upper bound for the maximum.

number theory

Audience: researchers in the topic

Columbia CUNY NYU number theory seminar