The Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang
conjecture in the context of arithmetic dynamics. It predicts the behavior of the orbit of a point …

R.–Nous démontrons une version quantitative d'un résultat de Furstenberg [20] et
Deligne [14]: la diagonale d'une série formelle algébrique de plusieurs variables à …

The irrationality exponent of an irrational number, which measures the approximation rate of
by rationals, is in general extremely difficult to compute explicitly, unless we know the …

Let K be a field of characteristic p> 0 and let f (t 1,…, td) be a power series in d variables with
coefficients in K that is algebraic over the field of multivariate rational functions K (t 1,…, td) …

The various Artin approximation theorems assert the existence of power series solutions of a
certain quality $ Q $(ie, formal, analytic, algebraic) of systems of equations of the same …

On donne une description, dans le langage des automates finis, de la clôture algébrique du
corps des fonctions rationnelles 𝔽 q (t) sur un corps fini 𝔽 q. Cette description, qui …

Let K be an algebraically closed field of characteristic p. We exhibit a counterexample
against a theorem asserted in one of our earlier papers, which claims to characterize the …

We provide a new proof of the multivariate version of Christol's theorem about algebraic
power series with coefficients in finite fields, as well as of its extension to perfect ground …

Transcendence of formal power series with rational coefficients Page 1 L Theoretical ELSEVIE;
Theoretical Computer Science 218 (1999) 143-160 Computer Science Transcendence of formal …

We prove the compatibility of pushforward along a proper morphism of an\'{e} tale
constructible sheaf and the pushforward of its characteristic cycle up to $ p $-torsion. This …