Add to ORKG52 pagesLet $K$ be a field of characteristic zero and $k$ and $l$ be two multiplicatively independent positive integers. We prove the following result that was conjectured by Loxton and van der Poorten during the Eighties: a power series $F(z)\in K[[z]]$ satisfies both a $k$- and a $l$-Mahler type functional equation if and only if it is a rational function
AbstractA simple proof of the Skolem-Mahler-Lech theorem is given, which does not make the use of th...
The purpose of this thesis is to study a class of power series, which we call Mahlerian, solutions t...
AbstractThe author reports on old work of his on the transcendency of functions satisfying functiona...
52 pagesLet $K$ be a field of characteristic zero and $k$ and $l$ be two multiplicatively independen...
In this thesis, we investigate topics belonging to number theory, and especially to transcendental n...
This thesis is part of Number Theory. It deals with transcendence and algebraic independence of valu...
Cette thèse se situe dans le domaine de la théorie des nombres. Nous étudions la transcendance et l...
International audienceIn 1990, Ku. Nishioka proved a fundamental theorem for Mahler's method, which ...
In pressInternational audienceIn 1994, Becker conjectured that if $F(z)$ is a k-regular power series...
AbstractIn the vein of Christol, Kamae, Mendès France and Rauzy, we consider the analogue of a probl...
AbstractAllouche and Shallit generalized the concept of k-automatic sequences by introducing the not...
International audienceMahler equations relate evaluations of the same function $f$ at iterated $b$th...
International audienceLet K be a function field of characteristic p > 0. We recently established the...
International audienceHere we propose a survey on Mahler's theory for transcendence and algebraic in...
International audienceLet $K$ be a field of characteristic $p>0$ and let $f(t_1,\ldots ,t_d)$ be a p...
AbstractA simple proof of the Skolem-Mahler-Lech theorem is given, which does not make the use of th...
The purpose of this thesis is to study a class of power series, which we call Mahlerian, solutions t...
AbstractThe author reports on old work of his on the transcendency of functions satisfying functiona...
52 pagesLet $K$ be a field of characteristic zero and $k$ and $l$ be two multiplicatively independen...
In this thesis, we investigate topics belonging to number theory, and especially to transcendental n...
This thesis is part of Number Theory. It deals with transcendence and algebraic independence of valu...
Cette thèse se situe dans le domaine de la théorie des nombres. Nous étudions la transcendance et l...
International audienceIn 1990, Ku. Nishioka proved a fundamental theorem for Mahler's method, which ...
In pressInternational audienceIn 1994, Becker conjectured that if $F(z)$ is a k-regular power series...
AbstractIn the vein of Christol, Kamae, Mendès France and Rauzy, we consider the analogue of a probl...
AbstractAllouche and Shallit generalized the concept of k-automatic sequences by introducing the not...
International audienceMahler equations relate evaluations of the same function $f$ at iterated $b$th...
International audienceLet K be a function field of characteristic p > 0. We recently established the...
International audienceHere we propose a survey on Mahler's theory for transcendence and algebraic in...
International audienceLet $K$ be a field of characteristic $p>0$ and let $f(t_1,\ldots ,t_d)$ be a p...
AbstractA simple proof of the Skolem-Mahler-Lech theorem is given, which does not make the use of th...
The purpose of this thesis is to study a class of power series, which we call Mahlerian, solutions t...
AbstractThe author reports on old work of his on the transcendency of functions satisfying functiona...
