Evidence of Random Matrix Corrections for the Large Deviations of Selberg’s Central Limit Theorem

Author:

Amzallag E.1,Arguin L.-P.23,Bailey E.34,Hui K.2,Rao R.2

Affiliation:

1. Department of Mathematics, City College of New York, CUNY, New York, USA;

2. Department of Mathematics, Baruch College, CUNY, New York, USA;

3. Department of Mathematics, CUNY Graduate Center, New York, USA;

4. Department of Mathematics, University of Bristol, Bristol, UK

Funder

NSF

Publisher

Informa UK Limited

Subject

General Mathematics

Reference37 articles.

1. Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line

2. Maxima of a randomized Riemann zeta function, and branching random walks

3. Arguin, L.P., Bourgade, P., Radziwiłł, M. The Fyodorov–Hiary–Keating Conjecture. I. arXiv:2007.00988, 2020.

4. Arguin, L.P., Dubach, G., Hartung, L. (2021), Maxima of a random model of the Riemann Zeta function over intervals of varying length. arXiv:2103.04817.

5. Arguin, L.P., Ouimet, F., Radziwiłł, M. (2019), Moments of the Riemann zeta function on short intervals of the critical line. arXiv:1901.04061.

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1. Maxima of a random model of the Riemann zeta function over intervals of varying length;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2024-02-01

2. Large Deviation Estimates of Selberg’s Central Limit Theorem and Applications;International Mathematics Research Notices;2023-07-27

3. Maxima of log-correlated fields: some recent developments*;Journal of Physics A: Mathematical and Theoretical;2022-01-11

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