  For geometrically finite hyperbolic manifolds $\Gamma\backslash H^{n+1}$, we
prove the meromorphic extension of the resolvent of Laplacian, Poincar\'e
series, Einsenstein series and scattering operator to the whole complex plane.
We also deduce the asymptotics of lattice points of $\Gamma$ in large balls of
$H^{n+1}$ in terms of the Hausdorff dimension of the limit set of $\Gamma$.
