The distribution of values of zeta and L-functions
Kannan Soundararajan
Department of Mathematics, Stanford University, Stanford, CA, USA
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Abstract
We survey recent progress on understanding the distribution of values of zeta and -functions. In particular, we discuss the problem of moments of and moments of central -values in families, where the last 25 years have seen a conjectural understanding of the asymptotics of these moments, together with progress in obtaining good upper and lower bounds in many situations.