Leonardo F. Guidi, Domingos H. U. Marchetti Convergence of Mayer Series via Cauchy-Kowalewski Majorant Methods with Application (412K, Postscript) ABSTRACT. We construct majorant functions $\Phi (\beta ,z)$ for the Mayer series of pressure satisfying a nonlinear differential equation of first order which can be solved by the method of characteristics. The domain $% \vert z\vert