Hyperquadratic continued fractions and automatic sequences
Number Theory
2015-10-01 v1
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.
Cite
@article{arxiv.1509.09075,
title = {Hyperquadratic continued fractions and automatic sequences},
author = {Alain Lasjaunias and Jia-Yan Yao},
journal= {arXiv preprint arXiv:1509.09075},
year = {2015}
}