Random matrix theory and moments of moments of L-functions
dc.contributor.author | Bueno De Andrade, JC | |
dc.contributor.author | Best, CG | |
dc.date.accessioned | 2022-10-14T09:59:04Z | |
dc.date.issued | 2022-12-08 | |
dc.date.updated | 2022-10-14T09:44:48Z | |
dc.description.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 L-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. | en_GB |
dc.description.sponsorship | Leverhulme Trust | en_GB |
dc.description.sponsorship | Engineering and Physical Sciences Research Council (EPSRC) | en_GB |
dc.identifier.citation | Published online 8 December 2022 | en_GB |
dc.identifier.doi | 10.1142/S2010326323500028 | |
dc.identifier.grantnumber | RPG-2017-320 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10871/131260 | |
dc.identifier | ORCID: 0000-0002-3431-6623 (Bueno De Andrade, Julio Cesar) | |
dc.language.iso | en | en_GB |
dc.publisher | World Scientific Publishing | en_GB |
dc.rights | © 2022 World Scientific Publishing. This version is made available under the CC-BY 4.0 license: https://creativecommons.org/licenses/by/4.0/ | |
dc.title | Random matrix theory and moments of moments of L-functions | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2022-10-14T09:59:04Z | |
dc.identifier.issn | 2010-3263 | |
dc.description | This is the author accepted manuscript. The final version is available from World Scientific Publishing via the DOI in this record | en_GB |
dc.identifier.eissn | 2010-3271 | |
dc.identifier.journal | Random Matrices: Theory and Applications | en_GB |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_GB |
dcterms.dateAccepted | 2022-10-12 | |
dcterms.dateSubmitted | 2022-05-25 | |
rioxxterms.version | AM | en_GB |
rioxxterms.licenseref.startdate | 2022-10-12 | |
rioxxterms.type | Journal Article/Review | en_GB |
refterms.dateFCD | 2022-10-14T09:44:50Z | |
refterms.versionFCD | AM | |
refterms.dateFOA | 2022-12-19T14:18:55Z | |
refterms.panel | B | en_GB |
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Except where otherwise noted, this item's licence is described as © 2022 World Scientific Publishing. This version is made available under the CC-BY 4.0 license: https://creativecommons.org/licenses/by/4.0/