3 papers
math.NT2019
Approximation simultanée des valeurs de la fonction exponentielle dans les adèles
Damien Roy
We show that Hermite's approximations to values of the exponential function at given algebraic numbers are nearly optimal when considered from an adelic perspective. We achieve thi…
math.NT2017
Construction de nombres extrémaux pour le problème de l'approximation simultanée d'un nombre et de son carré
Samuel Pilon, Damien Roy
We consider the problem of simultaneous approximation to a number and to its square in a general framework that encompasses imaginary quadratic number fields and fields of rational…
math.NT2016
Une version effective du théorème de Lindemann-Weierstrass par des méthodes d'indépendance algébrique
Damien Roy
We present a new completely effective proof of the Lindemann-Weierstrass theorem based on algebraic independence methods. Although it is slightly weaker than the best known estimat…