2020.05.28 Louis-Pierre Arguin - Large values of the Riemann zeta function in short intervals |
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In a seminal paper in 2012, Fyodorov & Keating proposed a series of
conjectures describing the statistics of large values of zeta in short intervals of the critical line. In particular, they relate these statistics to the ones of log-correlated Gaussian fields. In this lecture, I will present recent results that answer many aspects of these conjectures. Connections to problems in number theory will also be discussed. |