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hal.structure.identifierResearch Group on Graph Theory and Combinatorics [Barcelona]
dc.contributor.authorSERRA, Oriol
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorZÉMOR, Gilles
dc.date.accessioned2024-04-04T02:53:58Z
dc.date.available2024-04-04T02:53:58Z
dc.date.created2008-04-06
dc.date.issued2009
dc.identifier.issn0373-0956
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192229
dc.description.abstractEnWe prove that there is a small but fixed positive integer e such that for every prime larger than a fixed integer, every subset S of the integers modulo p which satisfies |2S|<(2+e)|S| and 2(|2S|)-2|S|+2 < p is contained in an arithmetic progression of length |2S|-|S|+1. This is the first result of this nature which places no unnecessary restrictions on the size of S.
dc.language.isoen
dc.publisherAssociation des Annales de l'Institut Fourier
dc.title.enLarge sets with small doubling modulo p are well covered by an arithmetic progression
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv0804.0935
bordeaux.journalAnnales de l'Institut Fourier
bordeaux.page2043--2060
bordeaux.volume59
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue5
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00271197
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00271197v1
bordeaux.COinSctx_ver=Z39.88-2004&amp;rft_val_fmt=info:ofi/fmt:kev:mtx:journal&amp;rft.jtitle=Annales%20de%20l'Institut%20Fourier&amp;rft.date=2009&amp;rft.volume=59&amp;rft.issue=5&amp;rft.spage=2043--2060&amp;rft.epage=2043--2060&amp;rft.eissn=0373-0956&amp;rft.issn=0373-0956&amp;rft.au=SERRA,%20Oriol&amp;Z%C3%89MOR,%20Gilles&amp;rft.genre=article


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