Guido Gentile and Vieri Mastropietro Construction of periodic solutions of the nonlinear wave equation with Dirichlet boundary conditions by the Lindstedt series method (486K, Postscript) ABSTRACT. We introduce and prove the convergence of a ``renormalized'' Lindstedt series for the oscillatory solutions of the nonlinear wave equation with Dirichlet boundary conditions, via Renormalization Group methods.