Maximum of the Riemann ζ function in typical intervals

Maksym Radziwill
McGill University in Montreal
http://www.its.caltech.edu/~maksym/

Date(s) : 20/02/2018   iCal
11 h 05 min - 12 h 05 min

An outstanding problem in analytic number theory is to understand the maximum of the Riemann ζ function on the critical line. The problem is poorly understood even at a conjectural level. Motivated by the physics literature Fyodorov and Keating made recently a conjecture on the maximum of the Riemann ζ function in typical segments of length 1 lying on the critical line. I will discuss this conjecture, and the recent confirmation of it in the first order in joint work with Arguin, Belius, Bourgade and Soundararajan.

http://www.its.caltech.edu/~maksym/zeta_max.pdf

http://www.math.mcgill.ca/radziwill/

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