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arXiv · 1509.09075

Hyperquadratic continued fractions and automatic sequences

Alain Lasjaunias·Jia-Yan Yao
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Abstract

The aim of this note is to show the existence of a correspondance between certain algebraic continued fractions in fields of power series over a finite field and automatic sequences in the same finite field. this connection is illustrated by three families of examples and a counterexample.

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Alain Lasjaunias, Jia-Yan Yao. 2015-09-30. Hyperquadratic continued fractions and automatic sequences. https://arxiv.org/abs/1509.09075

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