Mostrar el registro sencillo del ítem

Additive properties of sequences of pseudo $s$-th powers

hal.structure.identifierDepartamento de Matemáticas [Madrid]
dc.contributor.authorCILLERUELO, Javier
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDESHOUILLERS, Jean-Marc
hal.structure.identifierCentre de Mathématiques Laurent Schwartz [CMLS]
dc.contributor.authorLAMBERT, Victor
hal.structure.identifierCentre de Mathématiques Laurent Schwartz [CMLS]
dc.contributor.authorPLAGNE, Alain
dc.date.accessioned2024-04-04T03:20:24Z
dc.date.available2024-04-04T03:20:24Z
dc.date.created2014-07-20
dc.date.issued2016
dc.identifier.issn0025-5874
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194584
dc.description.abstractEnIn this paper, we study (random) sequences of pseudo s-th powers, as introduced by Erdös and Rényi in 1960. In 1975, Goguel proved that such a sequence is almost surely not an asymptotic basis of order s. Our first result asserts that it is however almost surely a basis of order s + x for any x > 0. We then study the s-fold sumset sA = A + ... + A (s times) and in particular the minimal size of an additive complement, that is a set B such that sA + B contains all large enough integers. With respect to this problem, we prove quite precise theorems which are tantamount to asserting that a threshold phenomenon occurs.
dc.language.isoen
dc.publisherSpringer
dc.title.enAdditive properties of sequences of pseudo $s$-th powers
dc.typeArticle de revue
dc.identifier.doi10.1007/s00209-016-1651-8
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1407.5291
bordeaux.journalMathematische Zeitschrift
bordeaux.page175-193
bordeaux.volume284
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01074153
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01074153v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematische%20Zeitschrift&rft.date=2016&rft.volume=284&rft.spage=175-193&rft.epage=175-193&rft.eissn=0025-5874&rft.issn=0025-5874&rft.au=CILLERUELO,%20Javier&DESHOUILLERS,%20Jean-Marc&LAMBERT,%20Victor&PLAGNE,%20Alain&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