EQUIDISTRIBUTION MODULO 1 AND SALEM NUMBERS
hal.structure.identifier | Centre for Advanced Computing - Algorithms and Cryptography [ACAC] | |
dc.contributor.author | DOCHE, Christophe | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | MENDES-FRANCE, Michel | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | RUCH, Jean-Jacques | |
dc.date.accessioned | 2024-04-04T02:42:42Z | |
dc.date.available | 2024-04-04T02:42:42Z | |
dc.date.created | 2007-06-16 | |
dc.date.issued | 2008-06-16 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191267 | |
dc.description.abstractEn | Let θ be a Salem number. It is well-known that the sequence (θ n ) modulo 1 is dense but not equidistributed. In this article we discuss equidistributed subsequences. Our first approach is computational and consists in estimating the supremum of limn→∞ n/s(n) over all equidistributed subsequences (θ s(n) ). As a result, we obtain an explicit upper bound onthe density of any equidistributed subsequence. Our second approach is probabilistic. Defining a measure on the family of increasing integer sequences, we show that relatively to that measure, almost no subsequence is equiditributed. | |
dc.language.iso | en | |
dc.subject.en | Salem number | |
dc.subject.en | Equidistribution modulo 1 | |
dc.subject.en | J0 Bessel function. | |
dc.subject.en | J0 Bessel function | |
dc.title.en | EQUIDISTRIBUTION MODULO 1 AND SALEM NUMBERS | |
dc.type | Article de revue | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
bordeaux.journal | Functiones et Approximatio | |
bordeaux.page | 261–271 | |
bordeaux.volume | XXXIX | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 2 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00353834 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00353834v1 | |
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