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

Alain Lasjaunias

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arXiv · 1511.08353

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

Alain Lasjaunias

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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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Alain Lasjaunias. 2015-11-26. A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1. https://arxiv.org/abs/1511.08353

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