Abstract: A criterion for linear independence, similar to that established in 2002 by Hančl in the classical case, is derived for continued fractions of elements in the field of formal series over a finite field
AbstractWe explain the construction of fields of formal infinite series in several variables, genera...
In 1882, Kronecker established that a given univariate formal Laurent series over a field can be exp...
The first part of this note is a short introduction on continued fraction expansions for certain alg...
In the field of formal power series over a finite field, we prove a result which enables us to const...
AbstractWe extend a result of J.-P. Allouche and O. Salon on linear independence of formal power ser...
AbstractWe present an algorithm to produce the continued fraction expansion of a linear fractional t...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
International audienceThe Hankel determinants of a given power series f can be evaluated by using th...
AbstractLet F be an arbitrary field and let K = F((x−1)) be the field of formal Laurent series in x−...
Let {a_{1}(n)}_{n>1} be a purely periodic sequence of nonnegative integers, not identically zero, an...
In this work we extend our study on a link between automaticity and certain algebraic power series o...
The main purpose of this note is to construct families of pairs of formal power series over a finite...
The aim of this note is to show the existence of a correspondance between certain algebraic continue...
AbstractLet ψ(x) denote the digamma function. We study the linear independence of ψ(x) at rational a...
This thesis deals with fundamental concepts of linear recurring sequences over the finite fields. Th...
AbstractWe explain the construction of fields of formal infinite series in several variables, genera...
In 1882, Kronecker established that a given univariate formal Laurent series over a field can be exp...
The first part of this note is a short introduction on continued fraction expansions for certain alg...
In the field of formal power series over a finite field, we prove a result which enables us to const...
AbstractWe extend a result of J.-P. Allouche and O. Salon on linear independence of formal power ser...
AbstractWe present an algorithm to produce the continued fraction expansion of a linear fractional t...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
International audienceThe Hankel determinants of a given power series f can be evaluated by using th...
AbstractLet F be an arbitrary field and let K = F((x−1)) be the field of formal Laurent series in x−...
Let {a_{1}(n)}_{n>1} be a purely periodic sequence of nonnegative integers, not identically zero, an...
In this work we extend our study on a link between automaticity and certain algebraic power series o...
The main purpose of this note is to construct families of pairs of formal power series over a finite...
The aim of this note is to show the existence of a correspondance between certain algebraic continue...
AbstractLet ψ(x) denote the digamma function. We study the linear independence of ψ(x) at rational a...
This thesis deals with fundamental concepts of linear recurring sequences over the finite fields. Th...
AbstractWe explain the construction of fields of formal infinite series in several variables, genera...
In 1882, Kronecker established that a given univariate formal Laurent series over a field can be exp...
The first part of this note is a short introduction on continued fraction expansions for certain alg...