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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLASJAUNIAS, Alain
dc.date.accessioned2024-04-04T02:52:23Z
dc.date.available2024-04-04T02:52:23Z
dc.date.created2008-05-29
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192063
dc.description.abstractEnThere exists a particular subset of algebraic power series over a finite field which, for different reasons, can be compared to the subset of quadratic real numbers. The continued fraction expansion for these elements, called hyperquadratic, can sometimes be made explicit. Here we describe this expansion for a wide family of hyperquadratic power series in odd characteristic. This leads to consider interesting recurrent sequences in the finite base field when it is not a prime field.
dc.language.isoen
dc.title.enAlgebraic continued fractions in F_q((T^{-1})) and recurrent sequences in F_q
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv0805.4512
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00284647
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00284647v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=LASJAUNIAS,%20Alain&rft.genre=preprint


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