Resumen de Sur l' ordre de la distribution 1/f

Patrick Sargos, Seydou Nourou Diallo

• We construct a solution T0 in the distribution sense of equation fT = 1 near a critical point of f and we give an upper bound for the order of T0 in terms of f's Newton Polyhedron, provided f is non degenerate in some sense. The order of T0 is equal to this upper bound when f is non-negative.