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
AbstractThe continued fraction expansion for a quartic power series over the finite field F13 was co...
We discuss the continued fraction expansion, in the field of power series over a finite prime field,...
We discuss the continued fraction expansion, in the field of power series over a finite prime field,...
In this work we extend our study on a link between automaticity and certain algebraic power series o...
The first part of this note is a short introduction on continued fraction expansions for certain alg...
There exists a particular subset of algebraic power series over a finite field which, for different ...
An irrational power series over a finite field F_q of characteristic p is called hyperquadratic if i...
AbstractAn irrational power series over a finite field Fq of characteristic p is called hyperquadrat...
In 1986, some examples of algebraic, and nonquadratic, power series over a fi?nite prime ?field, hav...
In the field of formal power series over a finite field, we prove a result which enables us to const...
AbstractThere are uncountably many continued fractions of formal power series with bounded sequence ...
Casually introduced thirty years ago, a simple algebraic equation of degree 4 with coefficients in F...
Casually introduced thirty years ago, a simple algebraic equation of degree 4 with coefficients in F...
In this note, we describe a family of particular algebraic, and nonquadratic, power series over an a...
In this note, we describe a family of particular algebraic, and nonquadratic, power series over an a...
AbstractThe continued fraction expansion for a quartic power series over the finite field F13 was co...
We discuss the continued fraction expansion, in the field of power series over a finite prime field,...
We discuss the continued fraction expansion, in the field of power series over a finite prime field,...
In this work we extend our study on a link between automaticity and certain algebraic power series o...
The first part of this note is a short introduction on continued fraction expansions for certain alg...
There exists a particular subset of algebraic power series over a finite field which, for different ...
An irrational power series over a finite field F_q of characteristic p is called hyperquadratic if i...
AbstractAn irrational power series over a finite field Fq of characteristic p is called hyperquadrat...
In 1986, some examples of algebraic, and nonquadratic, power series over a fi?nite prime ?field, hav...
In the field of formal power series over a finite field, we prove a result which enables us to const...
AbstractThere are uncountably many continued fractions of formal power series with bounded sequence ...
Casually introduced thirty years ago, a simple algebraic equation of degree 4 with coefficients in F...
Casually introduced thirty years ago, a simple algebraic equation of degree 4 with coefficients in F...
In this note, we describe a family of particular algebraic, and nonquadratic, power series over an a...
In this note, we describe a family of particular algebraic, and nonquadratic, power series over an a...
AbstractThe continued fraction expansion for a quartic power series over the finite field F13 was co...
We discuss the continued fraction expansion, in the field of power series over a finite prime field,...
We discuss the continued fraction expansion, in the field of power series over a finite prime field,...