Mostrar el registro sencillo del ítem

The distribution of the maximum of partial sums of Kloosterman sums and other trace functions

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorAUTISSIER, Pascal
dc.contributor.authorBONOLIS, Dante
hal.structure.identifierInstitut Élie Cartan de Lorraine [IECL]
hal.structure.identifierDepartment of Mathematics and Statistics [Toronto]
dc.contributor.authorLAMZOURI, Youness
dc.date.accessioned2024-04-04T02:45:21Z
dc.date.available2024-04-04T02:45:21Z
dc.date.issued2021
dc.identifier.issn0010-437X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191461
dc.description.abstractEnIn this paper, we investigate the distribution of the maximum of partial sums of families of $m$ -periodic complex-valued functions satisfying certain conditions. We obtain precise uniform estimates for the distribution function of this maximum in a near-optimal range. Our results apply to partial sums of Kloosterman sums and other families of $\ell$ -adic trace functions, and are as strong as those obtained by Bober, Goldmakher, Granville and Koukoulopoulos for character sums. In particular, we improve on the recent work of the third author for Birch sums. However, unlike character sums, we are able to construct families of $m$ -periodic complex-valued functions which satisfy our conditions, but for which the Pólya–Vinogradov inequality is sharp.
dc.language.isoen
dc.publisherFoundation Compositio Mathematica
dc.title.enThe distribution of the maximum of partial sums of Kloosterman sums and other trace functions
dc.typeArticle de revue
dc.identifier.doi10.1112/S0010437X21007351
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
bordeaux.journalCompositio Mathematica
bordeaux.page1610-1651
bordeaux.volume157
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue7
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03366902
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03366902v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Compositio%20Mathematica&rft.date=2021&rft.volume=157&rft.issue=7&rft.spage=1610-1651&rft.epage=1610-1651&rft.eissn=0010-437X&rft.issn=0010-437X&rft.au=AUTISSIER,%20Pascal&BONOLIS,%20Dante&LAMZOURI,%20Youness&rft.genre=article


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem