Philippe Michel Lecture 2019

L-functions, moments and subconvexity

This lecture will provide an overview of various methods (among them trace functions, reciprocity formulas, delta-symbol identities) by various of people that have emerged during the past few years and which have made it possible to solve important cases of two intertwined problems in the analytic theory of L-functions: the subconvexity problem and the evaluation of moments of L-functions.