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Mean Value of the Class Number in Function Fields Revisited

dc.contributor.authorBueno De Andrade, J
dc.contributor.authorJung, H
dc.date.accessioned2018-01-31T14:57:15Z
dc.date.issued2018-02-14
dc.description.abstractIn this paper an asymptotic formula for the sum ∑ (1, χ) is established for the family of quadratic Dirichlet L-functions over the rational function field over a finite field Fq with q fixed. Using the recent techniques developed by Florea we obtain an extra lower order terms that was never been predicted in number fields and function fields. As a corollary, we obtain a formula for the average of the class number over function fields which also contains strenuous lower order terms and so improving on previous results of Hoffstein and Rosen.en_GB
dc.description.sponsorshipThe first author is grateful to the Leverhulme Trust (RPG-2017-320) for the support through the research grant “Moments of L-functions in Function Fields and Random Matrix Theory”. The second author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(NRF-2017R1D1A1B03031464).en_GB
dc.identifier.citationPublished online 14 february 2018en_GB
dc.identifier.doi10.1007/s00605-018-1162-2
dc.identifier.urihttp://hdl.handle.net/10871/31257
dc.language.isoenen_GB
dc.publisherSpringer Verlagen_GB
dc.rights© The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
dc.subjectclass numberen_GB
dc.subjectfunction fieldsen_GB
dc.subjectL-functionsen_GB
dc.titleMean Value of the Class Number in Function Fields Revisiteden_GB
dc.typeArticleen_GB
dc.identifier.issn0026-9255
dc.descriptionThis is the author accepted manuscript. The final version is available from Springer Verlag via the DOI in this recorden_GB
dc.identifier.journalMonatshefte für Mathematiken_GB
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/


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© The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Except where otherwise noted, this item's licence is described as © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.