An Explicit Vinogradov–Korobov Zero-Free Region for Dirichlet L-Functions

Abstract We establish the first explicit form of the Vinogradov–Korobov zero-free region for Dirichlet L-functions.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Quarterly journal of mathematics 2024-04, Vol.75 (1), p.299-332
1. Verfasser: Khale, Tanmay
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 332
container_issue 1
container_start_page 299
container_title Quarterly journal of mathematics
container_volume 75
creator Khale, Tanmay
description Abstract We establish the first explicit form of the Vinogradov–Korobov zero-free region for Dirichlet L-functions.
doi_str_mv 10.1093/qmath/haae010
format Article
fullrecord <record><control><sourceid>oup_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1093_qmath_haae010</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><oup_id>10.1093/qmath/haae010</oup_id><sourcerecordid>10.1093/qmath/haae010</sourcerecordid><originalsourceid>FETCH-LOGICAL-c226t-b83ec562abe850a86b2339f7f4f0c8db33b89a33e4b5920dbd40eedb3c9e5d843</originalsourceid><addsrcrecordid>eNqFkLFOwzAURS0EEqUwsntkMX2JHdcZq9IU1EhICBhYItt5aY3SODhpBRv_wB_yJRTanelK9x7d4RByGcF1BCkfva11vxqttEaI4IgMIiEF40qMj8kAgHOWSJCn5KzrXgEiKdR4QBaThs7e29pZ19Nn1_hl0KXffn9-LXzwxm_pCwbPsoBIH3DpfEMrH-iNC86uauxpzrJNY_vd0J2Tk0rXHV4cckiestnj9Jbl9_O76SRnNo5lz4ziaBMZa4MqAa2kiTlPq3ElKrCqNJwblWrOUZgkjaE0pQDEXW9TTEol-JCw_a8NvusCVkUb3FqHjyKC4tdE8WeiOJjY8Vd73m_af9AfRCpjIA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>An Explicit Vinogradov–Korobov Zero-Free Region for Dirichlet L-Functions</title><source>Oxford University Press Journals All Titles (1996-Current)</source><creator>Khale, Tanmay</creator><creatorcontrib>Khale, Tanmay</creatorcontrib><description>Abstract We establish the first explicit form of the Vinogradov–Korobov zero-free region for Dirichlet L-functions.</description><identifier>ISSN: 0033-5606</identifier><identifier>EISSN: 1464-3847</identifier><identifier>DOI: 10.1093/qmath/haae010</identifier><language>eng</language><publisher>UK: Oxford University Press</publisher><ispartof>Quarterly journal of mathematics, 2024-04, Vol.75 (1), p.299-332</ispartof><rights>The Author(s) 2024. Published by Oxford University Press. All rights reserved. For commercial re-use, please contact reprints@oup.com for reprints and translation rights for reprints. All other permissions can be obtained through our RightsLink service via the Permissions link on the article page on our site–for further information please contact journals.permissions@oup.com. 2024</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c226t-b83ec562abe850a86b2339f7f4f0c8db33b89a33e4b5920dbd40eedb3c9e5d843</cites><orcidid>0000-0002-9417-6722</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,1578,27901,27902</link.rule.ids></links><search><creatorcontrib>Khale, Tanmay</creatorcontrib><title>An Explicit Vinogradov–Korobov Zero-Free Region for Dirichlet L-Functions</title><title>Quarterly journal of mathematics</title><description>Abstract We establish the first explicit form of the Vinogradov–Korobov zero-free region for Dirichlet L-functions.</description><issn>0033-5606</issn><issn>1464-3847</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNqFkLFOwzAURS0EEqUwsntkMX2JHdcZq9IU1EhICBhYItt5aY3SODhpBRv_wB_yJRTanelK9x7d4RByGcF1BCkfva11vxqttEaI4IgMIiEF40qMj8kAgHOWSJCn5KzrXgEiKdR4QBaThs7e29pZ19Nn1_hl0KXffn9-LXzwxm_pCwbPsoBIH3DpfEMrH-iNC86uauxpzrJNY_vd0J2Tk0rXHV4cckiestnj9Jbl9_O76SRnNo5lz4ziaBMZa4MqAa2kiTlPq3ElKrCqNJwblWrOUZgkjaE0pQDEXW9TTEol-JCw_a8NvusCVkUb3FqHjyKC4tdE8WeiOJjY8Vd73m_af9AfRCpjIA</recordid><startdate>20240415</startdate><enddate>20240415</enddate><creator>Khale, Tanmay</creator><general>Oxford University Press</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-9417-6722</orcidid></search><sort><creationdate>20240415</creationdate><title>An Explicit Vinogradov–Korobov Zero-Free Region for Dirichlet L-Functions</title><author>Khale, Tanmay</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c226t-b83ec562abe850a86b2339f7f4f0c8db33b89a33e4b5920dbd40eedb3c9e5d843</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Khale, Tanmay</creatorcontrib><collection>CrossRef</collection><jtitle>Quarterly journal of mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Khale, Tanmay</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An Explicit Vinogradov–Korobov Zero-Free Region for Dirichlet L-Functions</atitle><jtitle>Quarterly journal of mathematics</jtitle><date>2024-04-15</date><risdate>2024</risdate><volume>75</volume><issue>1</issue><spage>299</spage><epage>332</epage><pages>299-332</pages><issn>0033-5606</issn><eissn>1464-3847</eissn><abstract>Abstract We establish the first explicit form of the Vinogradov–Korobov zero-free region for Dirichlet L-functions.</abstract><cop>UK</cop><pub>Oxford University Press</pub><doi>10.1093/qmath/haae010</doi><tpages>34</tpages><orcidid>https://orcid.org/0000-0002-9417-6722</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 0033-5606
ispartof Quarterly journal of mathematics, 2024-04, Vol.75 (1), p.299-332
issn 0033-5606
1464-3847
language eng
recordid cdi_crossref_primary_10_1093_qmath_haae010
source Oxford University Press Journals All Titles (1996-Current)
title An Explicit Vinogradov–Korobov Zero-Free Region for Dirichlet L-Functions
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-14T01%3A19%3A25IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-oup_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=An%20Explicit%20Vinogradov%E2%80%93Korobov%20Zero-Free%20Region%20for%20Dirichlet%20L-Functions&rft.jtitle=Quarterly%20journal%20of%20mathematics&rft.au=Khale,%20Tanmay&rft.date=2024-04-15&rft.volume=75&rft.issue=1&rft.spage=299&rft.epage=332&rft.pages=299-332&rft.issn=0033-5606&rft.eissn=1464-3847&rft_id=info:doi/10.1093/qmath/haae010&rft_dat=%3Coup_cross%3E10.1093/qmath/haae010%3C/oup_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_oup_id=10.1093/qmath/haae010&rfr_iscdi=true