Y. Amice, Interpolation $p$-adique, Bulletin de la Société mathématique de France, vol.79, pp.117-180, 1964.
DOI : 10.24033/bsmf.1606

E. Bach, Explicit bounds for primality testing and related problems, Mathematics of Computation, vol.55, issue.191, pp.355-380, 1990.
DOI : 10.1090/S0025-5718-1990-1023756-8

D. Barsky, Fonctions zêta p-adiques d'une classe de rayon des corps de nombres totalement réels, Secrétariat Math, vol.23, issue.16, 1978.

K. Belabas, Topics in computational algebraic number theory, Journal de Th??orie des Nombres de Bordeaux, vol.16, issue.1, pp.19-63, 2004.
DOI : 10.5802/jtnb.433

A. Besser, P. Buckingham, R. De-jeu, and X. Roblot, On the p-adic Beilinson Conjecture for Number Fields, Pure and Applied Mathematics Quarterly, vol.5, issue.1, pp.375-434, 2009.
DOI : 10.4310/PAMQ.2009.v5.n1.a12

URL : https://hal.archives-ouvertes.fr/hal-00863148

P. Cartier and Y. Roy, Certains calculs num??riques relatifs ?? l???interpolation p-adique des s??ries de Dirichlet, Modular functions of one variable, III (Proc. Internat. Summer School, pp.269-349, 1972.
DOI : 10.1007/978-3-540-37802-0_5

. Pi, CassouNogù es Valeurs aux entiers négatifs des fonctions zêta et fonctions zêta p-adiques, Invent. Math, vol.51, issue.1, pp.29-59, 1979.

H. Cohen, A course in computational algebraic number theory, Graduate Texts in Mathematics, vol.138, 1993.
DOI : 10.1007/978-3-662-02945-9

H. Cohen, Advanced topics in computational number theory, volume 193 of Graduate Texts in Mathematics, 2000.

P. Colmez, R???sidu ens=1 des fonctions z???tap-adiques, Inventiones Mathematicae, vol.3, issue.2, pp.371-389, 1988.
DOI : 10.1007/BF01389373

P. Colmez, Fonctions d'une variable p-adique, Astérisque, vol.330, pp.13-59, 2010.

P. Deligne and K. Ribet, Values of abelianL-functions at negative integers over totally real fields, Inventiones Mathematicae, vol.111, issue.3, pp.227-286, 1980.
DOI : 10.1007/BF01453237

F. Diaz, E. Diaz, and . Friedman, Colmez cones for fundamental units of totally real cubic fields, Journal of Number Theory, vol.132, issue.8, pp.1653-1663, 2012.
DOI : 10.1016/j.jnt.2012.02.016

F. Diaz, E. Diaz, and . Friedman, Signed fundamental domains for totally real number fields, Proc. London Math. Soc., to appear, 2013.
DOI : 10.1112/plms/pdt025

J. Ellenberg, S. Jain, and A. Venkatesh, Modeling ??-invariants by p-adic random matrices, Communications on Pure and Applied Mathematics, vol.70, issue.236, pp.1243-1262, 2011.
DOI : 10.1002/cpa.20375

R. Ernvall and T. Metsänkylä, Computation of the zeros of p-adic L-functions, Math. Comp, vol.58, pp.815-830, 1992.

R. Ernvall and T. Metsänkylä, Computation of the zeros of p-adic L-functions, II. Math. Comp, vol.62, issue.205, pp.391-406, 1994.

R. Greenberg, On p-adic Artin L-functions, Nagoya Mathematical Journal, vol.61, pp.77-87, 1983.
DOI : 10.1007/BF01453237

D. Hayes, Brumer elements over a real quadratic base field, Exposition. Math, vol.8, issue.2, pp.137-184, 1990.

K. Iwasawa and C. Sims, Computation of invariants in the theory of cyclotomic fields, Journal of the Mathematical Society of Japan, vol.18, issue.1, pp.86-96, 1966.
DOI : 10.2969/jmsj/01810086

N. Katz, Another look atp-adicL-functions for totally real fields, Mathematische Annalen, vol.23, issue.42, pp.33-43, 1981.
DOI : 10.1007/BF01450554

URL : http://www.digizeitschriften.de/download/PPN235181684_0255/PPN235181684_0255___log10.pdf

T. Kubota and H. Leopoldt, Eine p-adische Theorie der Zetawerte. I. Einführung der p-adischen Dirichletschen L-Funktionen, J. Reine Angew. Math, vol.214215, pp.328-339, 1964.

S. Lang, Cyclotomic fields I and II, volume 121 of Graduate Texts in Mathematics, 1990.

J. Neukirch, Algebraic number theory, 1999.
DOI : 10.1007/978-3-662-03983-0

K. A. Ribet, Report on p-adic L-functions over totally real fields, Journées Arithmétiques de Luminy (Colloq. Internat. CNRS, pp.177-192, 1978.

A. M. Robert, A course in p-adic analysis, volume 198 of Graduate Texts in Mathematics, 2000.

X. Roblot, Efficient Shintani cone decomposition in higher degree

X. Roblot and D. Solomon, Verifying a p-adic abelian Stark conjecture at s=1, Journal of Number Theory, vol.107, issue.1, pp.168-206, 2004.
DOI : 10.1016/j.jnt.2003.12.013

URL : https://hal.archives-ouvertes.fr/hal-00863142

X. Roblot and A. Weiss, Numerical Evidence Toward a 2-adic Equivariant ???Main Conjecture???, Experimental Mathematics, vol.131, issue.2, pp.169-176, 2011.
DOI : 10.1080/10586458.2011.564541

URL : https://hal.archives-ouvertes.fr/hal-00863157

T. Shintani, On evaluation of zeta functions of totally real algebraic number fields at non-positive integers, J. Fac. Sci. Univ. Tokyo Sect. IA Math, vol.23, issue.2, pp.393-417, 1976.

D. Solomon, The Shintani Cocycle, Journal of Number Theory, vol.75, issue.1, pp.53-108, 1999.
DOI : 10.1006/jnth.1998.2332

P. The and . Group, Université Bordeaux 1. PARI/GP. available from http

D. Zagier, Valeurs des fonctions zêta des corps quadratiques réels aux entiers négatifs, Journées Arithmétiques de Caen, pp.135-151, 1976.