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Sums of the digits in bases 2 and 3

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDESHOUILLERS, Jean-Marc
hal.structure.identifierCombinatoire, théorie des nombres [CTN]
dc.contributor.authorHABSIEGER, Laurent
hal.structure.identifierStatistics and Mathematics Unit
dc.contributor.authorLAISHRAM, Shanta
hal.structure.identifierLaboratoire Angevin de Recherche en Mathématiques [LAREMA]
dc.contributor.authorLANDREAU, Bernard
dc.date.accessioned2024-04-04T03:12:53Z
dc.date.available2024-04-04T03:12:53Z
dc.date.issued2017
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193907
dc.description.abstractEnLet b ≥ 2 be an integer and let s b (n) denote the sum of the digits of the representation of an integer n in base b. For sufficiently large N , one has Card{n ≤ N : |s 3 (n) − s 2 (n)| ≤ 0.1457205 log n} > N 0.970359. The proof only uses the separate (or marginal) distributions of the values of s 2 (n) and s 3 (n).
dc.description.sponsorshipCentre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
dc.language.isoen
dc.publisherSpringer
dc.publisher.locationCham
dc.source.titleNumber theory—Diophantine problems, uniform distribution and applications
dc.subject.ensums of digits
dc.subject.enexpansion in bases 2 and 3
dc.title.enSums of the digits in bases 2 and 3
dc.typeChapitre d'ouvrage
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1611.08180
bordeaux.page211-217
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.title.proceedingNumber theory—Diophantine problems, uniform distribution and applications
hal.identifierhal-01401869
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01401869v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Number%20theory%E2%80%94Diophantine%20problems,%20uniform%20distribution%20and%20applications&rft.date=2017&rft.spage=211-217&rft.epage=211-217&rft.au=DESHOUILLERS,%20Jean-Marc&HABSIEGER,%20Laurent&LAISHRAM,%20Shanta&LANDREAU,%20Bernard&rft.genre=unknown


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