The eighth moment of Dirichlet L-functions II

Tietueen suppeat tiedot
dc.contributor.authorChandee, Vorrapan
dc.contributor.authorLi, Xiannan
dc.contributor.authorMatomäki, Kaisa
dc.contributor.authorRadziwiłł, Maksym
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id484703831
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/484703831
dc.date.accessioned2026-01-21T15:06:59Z
dc.date.available2026-01-21T15:06:59Z
dc.description.abstract<h2>Abstract</h2><p>We prove an asymptotic formula for the eighth moment of Dirichlet <em>L</em>-functions averaged over primitive characters <em>χ</em> modulo <em>q</em>, over all moduli q≤Qq≤Q, and with a short average on the critical line. Previously the same result was shown conditionally on the generalized Riemann hypothesis by the first two authors.</p>
dc.format.pagerange3453
dc.format.pagerange3493
dc.identifier.eissn1547-7398
dc.identifier.jour-issn0012-7094
dc.identifier.olddbid214112
dc.identifier.oldhandle10024/197130
dc.identifier.urihttps://www.utupub.fi/handle/11111/56410
dc.identifier.urlhttps://doi.org/10.1215/00127094-2024-0014
dc.identifier.urnURN:NBN:fi-fe2025082792860
dc.language.isoen
dc.okm.affiliatedauthorMatomäki, Kaisa
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationinternational co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherDuke University Press
dc.publisher.countryUnited Statesen_GB
dc.publisher.countryYhdysvallat (USA)fi_FI
dc.publisher.country-codeUS
dc.relation.doi10.1215/00127094-2024-0014
dc.relation.ispartofjournalDuke Mathematical Journal
dc.relation.issue18
dc.relation.volume173
dc.source.identifierhttps://www.utupub.fi/handle/10024/197130
dc.titleThe eighth moment of Dirichlet L-functions II
dc.year.issued2024

Tiedostot

Näytetään 1 - 1 / 1
Name:
Final-Matomäki-2024.pdf
Size:
423.59 KB
Format:
Adobe Portable Document Format
Lataa

Kokoelmat

Rinnakkaistallenteet