Construction de nombres extrémaux pour le problème de l'approximation simultanée d'un nombre et de son carré

Abstract

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 functions in one variable. In this context, we construct new extremal numbers.

4 pages, in French, to appear in Journal de Théorie des Nombres de Bordeaux