Emma Bailey (University of Bristol)

will speak on

Large deviations of Selberg's CLT: upper and lower bounds

Time: 2:00PM
Date: Wed 20th November 2024
Location: E0.32 (beside Pi restaurant) [map]

Abstract: Selberg's CLT informs us that the logarithm of the Riemann zeta function evaluated on the critical line behaves as a complex Gaussian. It is natural, therefore, to study how far this Gaussianity persists. This talk will present results on atypically large values, and on averages of ζ(1/2+it) as a corollary. The work featured is joint with Louis-Pierre Arguin and Asher Roberts. No number theoretic knowledge will be presumed!

(This talk is part of the Probability series.)

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