Bernard de Mathan

Simultaneous diophantine approximation for algebraic functions in positive characteristic

We study simultaneous rational approximations of a pair of algebraic functions in positive characteristic. We particularly consider quadratic functions in characteristic 2.

A Remark about Peck's Method in Positive Characteristic

Abstract. In this short paper, we study Peck’s method in positive characteristic. Curiously enough, the simultaneous approximations this method provides are better than in the real field.

On a mixed Littlewood conjecture in fields of power series

On obtient des resultats negatifs pour cette conjecture en series formelles si le corps de base est infini