A NOTE ON HYPERQUADRATIC CONTINUED FRACTIONS IN CHARACTERISTIC 2 WITH PARTIAL QUOTIENTS OF DEGREE 1
Langue
en
Document de travail - Pré-publication
Résumé en anglais
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. ...Lire la suite >
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].< Réduire
Mots clés en anglais
Continued fractions
Fields of power series
Finite fields 2000 Mathematics Subject Classification: 11J70
11T55
Origine
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