Establishing asymptotic formulas for moments of L-functions has been a main goal of analytic number theory for over a century. This topic is strongly connected to the generalized Lindelöf Hypothesis and various non-vanishing conjectures, and it has witnessed substantial progress in the last three decades. This one-week workshop brings together established and early-career researchers with expertise and interest in moments and zeros of L-functions to discuss various aspects of the current research, with special emphasis on multiple Dirichlet series, shifted convolution sums, random matrix theory, and spectral theory of automorphic forms. The purpose of this event is to highlight the recent advances in this area and initiate discussions and collaborations among researchers across the different sub-disciplines of this field. In particular, we are interested in exploring connections between the multiple Dirichlet series approach and the approximate functional equation approach to studying moments of L-functions, perhaps opening up new ways to understanding some of these moments. This event aims to provide a collaborative and supportive research environment for young researchers and an opportunity for established researchers to mentor and exchange ideas.

This event is part of the PIMS Collaborative Research Group L-Functions in Analytic Number Theory.