Workshop: Weighted statistics of families of L-functions, Alessandro Fazzari

Date: 2024-01-26

Time: 11:00 - 12:00

Zoom link:


Alessandro Fazzari, Université de Montréal


We discuss classical statistics of families of L-functions, weighted by the central value of the corresponding L-function. In particular, we focus on the weighted one-level density for the non-trivial zeros of L-functions, blending together the theory of moments and that of low lying zeros. We look at the case of the Riemann zeta function with special attention, trying to get a better understanding of the interplay between zeros and large values of zeta.