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On certain recurrent and automatic sequences in finite fields

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLASJAUNIAS, Alain
hal.structure.identifierTsinghua University [Beijing] [THU]
dc.contributor.authorYAO, Jia-Yan
dc.date.accessioned2024-04-04T03:14:48Z
dc.date.available2024-04-04T03:14:48Z
dc.date.created2016-05-02
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194094
dc.description.abstractEnIn this work we extend our study on a link between automaticity and certain algebraic power series over finite fields. Our starting point is a family of sequences in a finite field of characteristic $2$, recently introduced by the first author in connection with algebraic continued fractions. By including it in a large family of recurrent sequences in an arbitrary finite field, we prove its automaticity. Then we give a criterion on automatic sequences, generalizing a previous result and this allows us to present new families of automatic sequences in an arbitrary finite field.
dc.language.isoen
dc.title.enOn certain recurrent and automatic sequences in finite fields
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1605.00813v1
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01313548
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01313548v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=LASJAUNIAS,%20Alain&YAO,%20Jia-Yan&rft.genre=preprint


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