Analytic and Geometric Number Theory Seminar

In this talk I will construct a class of probabilistic random Euler products to model the behavior of L-functions in the strip 1/2 < Re(s) < 1. We then deduce results on the distribution of extreme values of several families of L-functions, including the Riemann zeta function in the t-aspect, Dirichlet L-functions in the q-aspect, and L-functions attached to primitive holomorphic cusp forms of weight 2 in the level aspect.