%0 Journal Article %T A discriminant criterion of irreducibility %A Evelia R. Garc¨ªa Barroso %A Janusz Gwo£¿dziewicz %J Mathematics %D 2009 %I arXiv %R 10.2996/kmj/1341401060 %X In this paper we give a criterion of irreducibility for a complex power series in two variables, using the notion of jacobian Newton diagrams, defined with respect to any direction. Moreover we study the singularity at infinity of a plane affine curve with one point at infinity for which the global counterpart of our main result holds. %U http://arxiv.org/abs/0911.3771v1