Random matrix theory and moments of moments of L-functions
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Published:2022-12-08
Issue:
Volume:
Page:
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ISSN:2010-3263
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Container-title:Random Matrices: Theory and Applications
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language:en
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Short-container-title:Random Matrices: Theory Appl.
Author:
Andrade J. C.1ORCID,
Best C. G.1
Affiliation:
1. Department of Mathematics, University of Exeter, Exeter, EX4 4QF, United Kingdom
Abstract
In this paper, we give an analytic proof of the asymptotic behavior of the moments of moments of the characteristic polynomials of random symplectic and orthogonal matrices. We therefore obtain alternate, integral expressions for the leading order coefficients previously found by Assiotis, Bailey and Keating. We also discuss the conjectures of Bailey and Keating for the corresponding moments of moments of [Formula: see text]-functions with symplectic and orthogonal symmetry. Specifically, we show that these conjectures follow from the shifted moments conjecture of Conrey, Farmer, Keating, Rubinstein and Snaith.
Funder
Leverhulme Trust
Engineering and Physical Sciences Research Council
Publisher
World Scientific Pub Co Pte Ltd
Subject
Discrete Mathematics and Combinatorics,Statistics, Probability and Uncertainty,Statistics and Probability,Algebra and Number Theory
Cited by
1 articles.
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