Abstract
We first prove the meromorphic extension to ℂ for the resolvent of the Laplacian on a class of geometrically finite hyperbolic manifolds with infinite volume and we give a polynomial bound on the number of resonances. This class notably contains the quotients Γ\ n+1 with rational nonmaximal rank cusps previously studied by Froese-Hislop-Perry.
Mathematics Subject Classification:
Acknowledgement
This work has been begun at Nantes University and finished at Purdue University. I would like to thank Peter Perry, Rafe Mazzeo and Martin Olbrich for pointing out to me some references about the subject.