hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
dc.contributor.author	LASJAUNIAS, Alain
dc.date.accessioned	2024-04-04T02:52:23Z
dc.date.available	2024-04-04T02:52:23Z
dc.date.created	2008-05-29
dc.identifier.uri	https://oskar-bordeaux.fr/handle/20.500.12278/192063
dc.description.abstractEn	There 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.iso	en
dc.title.en	Algebraic continued fractions in F_q((T^{-1})) and recurrent sequences in F_q
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv	0805.4512
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-00284647
hal.version	1
hal.audience	Non spécifiée
hal.origin.link	https://hal.archives-ouvertes.fr//hal-00284647v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=LASJAUNIAS,%20Alain&rft.genre=preprint

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Algebraic continued fractions in F_q((T^{-1})) and recurrent sequences in F_q