Arguin, Louis-Pierre and Belius, David and Bourgade, Paul and Radziwiłł, Maksym and Soundararajan, Kannan (2016) Maximum of the Riemann zeta function on a short interval of the critical line. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20180612-140618985
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Abstract
We prove the leading order of a conjecture by Fyodorov, Hiary and Keating, about the maximum of the Riemann zeta function on random intervals along the critical line. More precisely, as T→∞ for a set of t∈[T,2T] of measure (1−o(1))T, we have max|t−u|≤1log∣∣ζ(12+iu)∣∣=(1+o(1))loglogT.
| Item Type: | Report or Paper (Discussion Paper) | ||||||
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| Record Number: | CaltechAUTHORS:20180612-140618985 | ||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20180612-140618985 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 87019 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 12 Jun 2018 21:13 | ||||||
| Last Modified: | 12 Jun 2018 21:13 |
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