Sums of the digits in bases 2 and 3
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DESHOUILLERS, Jean-Marc | |
| hal.structure.identifier | Combinatoire, théorie des nombres [CTN] | |
| dc.contributor.author | HABSIEGER, Laurent | |
| hal.structure.identifier | Statistics and Mathematics Unit | |
| dc.contributor.author | LAISHRAM, Shanta | |
| hal.structure.identifier | Laboratoire Angevin de Recherche en Mathématiques [LAREMA] | |
| dc.contributor.author | LANDREAU, Bernard | |
| dc.date.accessioned | 2024-04-04T03:12:53Z | |
| dc.date.available | 2024-04-04T03:12:53Z | |
| dc.date.issued | 2017 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193907 | |
| dc.description.abstractEn | Let 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.sponsorship | Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020 | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.publisher.location | Cham | |
| dc.source.title | Number theory—Diophantine problems, uniform distribution and applications | |
| dc.subject.en | sums of digits | |
| dc.subject.en | expansion in bases 2 and 3 | |
| dc.title.en | Sums of the digits in bases 2 and 3 | |
| dc.type | Chapitre d'ouvrage | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1611.08180 | |
| bordeaux.page | 211-217 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.title.proceeding | Number theory—Diophantine problems, uniform distribution and applications | |
| hal.identifier | hal-01401869 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01401869v1 | |
| bordeaux.COinS | ctx_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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