hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
dc.contributor.author	LASJAUNIAS, A
dc.description.abstractEn	In this note, we describe a family of particular algebraic, and nonquadratic, power series over an arbitrary finite field of characteristic 2, having a continued fraction expansion with all partial quotients of degree one. The main purpose being to point out a common origin with another analogue family in odd characteristic, which has been studied in [LY1].
dc.language.iso	en
dc.subject.en	Continued fractions
dc.subject.en	Fields of power series
dc.subject.en	Finite fields 2000 Mathematics Subject Classification: 11J70
dc.subject.en	11T55
dc.title.en	A NOTE ON HYPERQUADRATIC CONTINUED FRACTIONS IN CHARACTERISTIC 2 WITH PARTIAL QUOTIENTS OF DEGREE 1
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv	1511.08353
hal.identifier	hal-01260587
hal.version	1
hal.origin.link	https://hal.archives-ouvertes.fr//hal-01260587v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=LASJAUNIAS,%20A&rft.genre=preprint

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A NOTE ON HYPERQUADRATIC CONTINUED FRACTIONS IN CHARACTERISTIC 2 WITH PARTIAL QUOTIENTS OF DEGREE 1