On certain recurrent and automatic sequences in finite fields
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | LASJAUNIAS, Alain | |
| hal.structure.identifier | Tsinghua University [Beijing] [THU] | |
| dc.contributor.author | YAO, Jia-Yan | |
| dc.date.accessioned | 2024-04-04T03:14:48Z | |
| dc.date.available | 2024-04-04T03:14:48Z | |
| dc.date.created | 2016-05-02 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194094 | |
| dc.description.abstractEn | In 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.iso | en | |
| dc.title.en | On certain recurrent and automatic sequences in finite fields | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1605.00813v1 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-01313548 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01313548v1 | |
| bordeaux.COinS | ctx_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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