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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLASJAUNIAS, Alain
hal.structure.identifierNanjing University of Posts and Telecommunications [Nanjing] [NJUPT]
dc.contributor.authorYAO, Jia-Yan
dc.date.accessioned2024-04-04T02:18:09Z
dc.date.available2024-04-04T02:18:09Z
dc.date.created2014-05-09
dc.date.issued2015-04
dc.identifier.issn0022-314X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189288
dc.description.abstractEnIn 1986, some examples of algebraic, and nonquadratic, power series over a fi?nite prime ?field, having a continued fraction expansion with partial quotients all of degree one, were discovered by W. Mills and D. Robbins. In this note we show how these few examples are included in a very large family of continued fractions for certain algebraic power series over an arbitrary ?finite fi?eld of odd characteristic.
dc.language.isoen
dc.publisherElsevier
dc.subject.enpower series
dc.subject.enfinite fields
dc.subject.encontinued fractions
dc.title.enHyperquadratic continued fractions over a finite field of odd characteristic with partial quotients of degree 1
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jnt.2014.10.012
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1405.2171
bordeaux.journalJournal of Number Theory
bordeaux.page259-284
bordeaux.volume149
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00991311
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00991311v1
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