L. Andersson, P. Chru´scielchru´sciel, and H. Friedrich, On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations, Communications in Mathematical Physics, vol.20, issue.3, pp.587-612, 1992.
DOI : 10.1007/BF02096944

P. Aviles and R. Mcowen, Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds. Duke Math, J, vol.56, issue.2, pp.395-398, 1988.

S. Brendle, Curvature flows on surfaces with boundary, Mathematische Annalen, vol.324, issue.3, pp.491-519, 2002.
DOI : 10.1007/s00208-002-0350-4

D. Burghelea, L. Friedlander, and T. Kappeler, Meyer-vietoris type formula for determinants of elliptic differential operators, Journal of Functional Analysis, vol.107, issue.1, pp.34-65, 1992.
DOI : 10.1016/0022-1236(92)90099-5

P. Cherrier, Probl??mes de Neumann non lin??aires sur les vari??t??s riemanniennes, Journal of Functional Analysis, vol.57, issue.2, pp.154-206, 1984.
DOI : 10.1016/0022-1236(84)90094-6

URL : http://doi.org/10.1016/0022-1236(84)90094-6

E. D. Hoker and D. H. , On determinants of Laplacians on Riemann surfaces, Communications in Mathematical Physics, vol.14, issue.4, pp.537-545, 1986.
DOI : 10.1007/BF01211063

J. Edward and S. Wu, Determinant of the Neumann operator on smooth Jordan curves, Proceedings of the American Mathematical Society, vol.111, issue.2, pp.357-363, 1991.
DOI : 10.1090/S0002-9939-1991-1031662-0

C. Fefferman, C. R. Graham, and P. Metric, $Q$-Curvature and Poincar?? Metrics, Mathematical Research Letters, vol.9, issue.2, pp.139-151, 2002.
DOI : 10.4310/MRL.2002.v9.n2.a2

URL : http://arxiv.org/abs/math/0110271

D. Fried, The zeta functions of Ruelle and Selberg. I, Annales scientifiques de l'??cole normale sup??rieure, vol.19, issue.4, pp.491-517, 1986.
DOI : 10.24033/asens.1515

D. Fried, Analytic torsion and closed geodesics on hyperbolic manifolds, Inventiones Mathematicae, vol.82, issue.3, pp.523-540, 1986.
DOI : 10.1007/BF01388745

URL : http://www.digizeitschriften.de/download/PPN356556735_0084/PPN356556735_0084___log26.pdf

I. Gohberg and E. Sigal, AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCH??, Mathematics of the USSR-Sbornik, vol.13, issue.4, pp.13-603, 1970.
DOI : 10.1070/SM1971v013n04ABEH003702

C. R. Graham, Volume and area renormalizations for conformally compact Einstein metrics, Rend. Circ. Mat. Palermo, Ser.II, pp.63-94, 2000.

C. R. Graham, R. Jenne, L. J. Manson, and G. A. Sparling, Conformally invariant powers of the Laplacian, I. Existence, J. London Math. Soc, issue.2, pp.46-557, 1992.

C. R. Graham and J. M. Lee, Einstein metrics with prescribed conformal infinity on the ball, Advances in Mathematics, vol.87, issue.2, pp.186-225, 1991.
DOI : 10.1016/0001-8708(91)90071-E

C. R. Graham and M. Zworski, Scattering matrix in conformal geometry, Inventiones Mathematicae, vol.152, issue.1, pp.89-118, 2003.
DOI : 10.1007/s00222-002-0268-1

C. Guillarmou, Meromorphic properties of the resolvent for asymptotically hyperbolic manifolds, Duke Math, J, vol.129, issue.1, pp.1-37, 2005.

C. Guillarmou, Generalized Krein formula, determinant and Selberg zeta functions in even dimension, Arxiv math, 512173.

C. Guillarmou, Resonances and scattering poles on asymptotically hyperbolic manifolds, Mathematical Research Letters, vol.12, issue.1, pp.103-119, 2005.
DOI : 10.4310/MRL.2005.v12.n1.a10

L. Guillopé, Sur la distribution des longueurs des géodésiques fermées d'une surface compactè a bord totalement géodésique, Duke Math, J, vol.53, issue.3, pp.827-848, 1986.

L. Guillopé and M. , Upper Bounds on the Number of Resonances for Non-compact Riemann Surfaces, Journal of Functional Analysis, vol.129, issue.2, pp.364-389, 1995.
DOI : 10.1006/jfan.1995.1055

L. Guillopé and M. Zworski, Scattering Asymptotics for Riemann Surfaces, The Annals of Mathematics, vol.145, issue.3, pp.597-660, 1997.
DOI : 10.2307/2951846

M. Joshi and A. Barreto, Inverse scattering on asymptotically hyperbolic manifolds, Acta Mathematica, vol.184, issue.1, pp.41-86, 2000.
DOI : 10.1007/BF02392781

T. Kato, perturbation theory for linear operators, Reprint of the 1980 edition, Classics in Mathematics, 1995.

M. Kontsevich and S. Vishik, Determinants of elliptic pseudo-differential operators, Arxiv hep-th

R. Mazzeo and R. Taylor, Curvature and uniformization, Israel Journal of Mathematics, vol.9, issue.4, pp.323-346, 2002.
DOI : 10.1007/BF02764082

URL : http://arxiv.org/abs/math/0105016

A. Mcintyre and L. A. Takhtajan, Holomorphic factorization of determinants of Laplacians on Riemann surfaces and a higher genus generalization of Kronecker???s first limit formula, GAFA Geometric And Functional Analysis, vol.16, issue.6, pp.1291-1323, 2006.
DOI : 10.1007/s00039-006-0582-7

K. Okikiolu, Critical Metrics for the Determinant of the Laplacian in Odd Dimensions, The Annals of Mathematics, vol.153, issue.2, pp.471-531, 2001.
DOI : 10.2307/2661347

B. Osgood, R. Phillips, and P. Sarnak, Compact isospectral sets of surfaces, Journal of Functional Analysis, vol.80, issue.1, pp.212-234, 1988.
DOI : 10.1016/0022-1236(88)90071-7

S. Patterson, The Selberg zeta function of a Kleinian group, in Number Theory, Trace formula and discrete groups: Symposium in honour of Atle Selberg, 1987.

S. Patterson and P. Perry, The divisor of Selberg's zeta function for Kleinian groups. Appendix A by, J, vol.106, pp.321-391, 2001.

S. Paycha and S. Scott, An explicit Laurent expansion for regularized integrals of holomorphic symbols

P. Sarnak, Determinants of Laplacians, Communications in Mathematical Physics, vol.61, issue.1, pp.113-120, 1987.
DOI : 10.1007/BF01209019

R. T. Seeley, Complex powers of an elliptic operator, 1967 Singular Integrals (Proc. Sympos, pp.288-307, 1966.
DOI : 10.1090/pspum/010/0237943

M. E. Taylor, Partial differential equations, II, Applied Mathematical Sciences, vol.116, 1996.

A. Voros, Spectral functions, special functions and the Selberg zeta function, Communications in Mathematical Physics, vol.180, issue.3, pp.439-465, 1987.
DOI : 10.1007/BF01212422