  We prove the Ramanujan-Petersson conjecture for Maass forms of the group
$SL(2,Z)$, with the help of automorphic distribution theory: this is an
alternative to classical automorphic function theory, in which the plane takes
the place usually ascribed to the hyperbolic half-plane. The Selberg conjecture
for Hecke's group $\Gamma_0(M)$ follows as well.
