A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1

2015/11/26 by Alain Lasjaunias, Lasjaunias, Alain
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Mathematical Dynamics and Fractals #math.NT #msc:11J70 #msc:11T55 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1511.08353

6 pages

arxiv created 2015/11/26 · arxiv updated 2015/11/30

Abstract

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].

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