The fourth moment of derivatives of Dirichlet L-functions in function fields
dc.contributor.author | Bueno De Andrade, JC | |
dc.contributor.author | Yiasemides, M | |
dc.date.accessioned | 2020-11-27T10:05:21Z | |
dc.date.issued | 2021-02-26 | |
dc.description.abstract | We obtain the asymptotic main term of moments of arbitrary derivatives of L-functions in the function field setting. Specifically, we obtain the first, second, and mixed fourth moments. The average is taken over all non-trivial characters of a prime modulus Q ∈ Fq[T], and the asymptotic limit is as deg Q −→ ∞. This extends the work of Tamam who obtained the asymptotic main term of low moments of L-functions, without derivatives, in the function field setting. It is also the function field q-analogue of the work of Conrey, who obtained the fourth moment of derivatives of the Riemann zeta-function | 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 26 February 2021 | en_GB |
dc.identifier.doi | 10.1007/s00209-020-02673-8 | |
dc.identifier.grantnumber | RPG-2017-320 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10871/123810 | |
dc.language.iso | en | en_GB |
dc.publisher | Springer | en_GB |
dc.rights | © The Author(s) 2021. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ | |
dc.title | The fourth moment of derivatives of Dirichlet L-functions in function fields | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2020-11-27T10:05:21Z | |
dc.identifier.issn | 0025-5874 | |
dc.description | This is the final version. Available on open access from Springer via the DOI in this record | en_GB |
dc.identifier.eissn | 1432-1823 | |
dc.identifier.journal | Mathematische Zeitschrift | en_GB |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_GB |
dcterms.dateAccepted | 2020-11-14 | |
exeter.funder | ::Leverhulme Trust | en_GB |
exeter.funder | ::Engineering and Physical Sciences Research Council (EPSRC) | en_GB |
rioxxterms.version | VoR | en_GB |
rioxxterms.licenseref.startdate | 2020-11-14 | |
rioxxterms.type | Journal Article/Review | en_GB |
refterms.dateFCD | 2020-11-27T09:28:23Z | |
refterms.versionFCD | AM | |
refterms.dateFOA | 2021-03-12T11:06:06Z | |
refterms.panel | B | en_GB |
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Except where otherwise noted, this item's licence is described as © The Author(s) 2021. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/