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Large sets with small doubling modulo p are well covered by an arithmetic progression
hal.structure.identifier | Research Group on Graph Theory and Combinatorics [Barcelona] | |
dc.contributor.author | SERRA, Oriol | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | ZÉMOR, Gilles | |
dc.date.accessioned | 2024-04-04T02:53:58Z | |
dc.date.available | 2024-04-04T02:53:58Z | |
dc.date.created | 2008-04-06 | |
dc.date.issued | 2009 | |
dc.identifier.issn | 0373-0956 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192229 | |
dc.description.abstractEn | We 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.iso | en | |
dc.publisher | Association des Annales de l'Institut Fourier | |
dc.title.en | Large sets with small doubling modulo p are well covered by an arithmetic progression | |
dc.type | Article de revue | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
dc.identifier.arxiv | 0804.0935 | |
bordeaux.journal | Annales de l'Institut Fourier | |
bordeaux.page | 2043--2060 | |
bordeaux.volume | 59 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 5 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00271197 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00271197v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Annales%20de%20l'Institut%20Fourier&rft.date=2009&rft.volume=59&rft.issue=5&rft.spage=2043--2060&rft.epage=2043--2060&rft.eissn=0373-0956&rft.issn=0373-0956&rft.au=SERRA,%20Oriol&Z%C3%89MOR,%20Gilles&rft.genre=article |
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