J. Adams and J. F. Johnson, Endoscopic groups and packets of nontempered representations, Compositio Math, vol.64, issue.3, pp.271-309, 1987.

J. Arthur, Automorphic representations of inner twists

J. Arthur, The Endoscopic Classification of Representations: Orthogonal and Symplectic groups, 2013.
DOI : 10.1090/coll/061

M. Asgari and R. Schmidt, Siegel modular forms and representations, manuscripta mathematica, vol.104, issue.2, pp.173-200, 2001.
DOI : 10.1007/PL00005869

J. Bellaïche and G. Chenevier, Families of Galois representations and Selmer groups, Astérisque, issue.324, p.314, 2009.

J. Bellaïche and G. Chenevier, Abstract, Compositio Mathematica, vol.108, issue.05, pp.1337-1352, 2011.
DOI : 10.1007/s00222-005-0448-x

[. Bergström, C. Faber, and G. Van-der-geer, Siegel modular forms of degree three and the cohomology of local systems, Selecta Mathematica, vol.54, issue.8, pp.83-124, 2014.
DOI : 10.1007/s00029-013-0118-6

K. Buzzard and T. Gee, The conjectural connections between automorphic representations and Galois representations, 2010.
DOI : 10.1017/CBO9781107446335.006

H. [. Borel and . Jacquet, Automorphic forms and automorphic representations , Automorphic forms, representations and L-functions, Proc. Sympos
DOI : 10.1090/pspum/033.1/546598

[. Barnet-lamb, T. Gee, D. Geraghty, and R. Taylor, Potential automorphy and change of weight, Annals of Mathematics, vol.179, issue.2, pp.501-609, 2014.
DOI : 10.4007/annals.2014.179.2.3

]. A. Bor79 and . Borel, Automorphic L-functions, Automorphic forms, representations and L-functions, Proc. Sympos. Pure Math. Part 2, Proc. Sympos. Pure Math., XXXIII, Amer, pp.27-61, 1977.

S. Bosch, Half a century of rigid analytic spaces, Pure Appl Special Issue: In honor of John Tate, Math. Q, vol.5, issue.4, pp.1435-1467, 2009.

]. N. Bou68, . Bourbaki, . Éléments-de-mathématique, . Fasc, and . Xxxiv, Groupes et algèbres de Lie Chapitre IV: Groupes de Coxeter et systèmes de Tits Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines Tate classes and arithmetic quotients of the two-ball., The zeta functions of Picard modular surfaces, Actualités Scientifiques et Industrielles, No. 1337, pp.421-444, 1968.

[. Bruinier, G. Van-der-geer, G. Harder, and D. Zagier, The 1-2-3 of modular forms, Lectures from the Summer School on Modular Forms and their Applications held in Nordfjordeid, 2004.
DOI : 10.1007/978-3-540-74119-0

N. [. Borel and . Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Mathematical Surveys and Monographs, vol.67, 2000.
DOI : 10.1090/surv/067

J. Bernstein and A. Zelevinsky, Induced representations of reductive ${\germ p}$-adic groups. I, Annales scientifiques de l'??cole normale sup??rieure, vol.10, issue.4, pp.441-472, 1977.
DOI : 10.24033/asens.1333

R. W. Carter, Conjugacy classes in the Weyl group, Compositio Math, vol.91, issue.2, pp.1-59, 1972.
DOI : 10.1090/S0002-9947-1959-0106428-2

[. Casselman, Introduction to the theory of admissible representations of p-adic reductive groups

L. [. Chenevier and . Clozel, Corps de nombres peu ramifi??s et formes automorphes autoduales, Journal of the American Mathematical Society, vol.22, issue.2, pp.467-519, 2009.
DOI : 10.1090/S0894-0347-08-00617-6
URL : http://arxiv.org/abs/0706.3336

L. Clozel and P. Delorme, Le th??or??me de Paley-Wiener invariant pour les groupes de Lie r??ductifs. II, Annales scientifiques de l'??cole normale sup??rieure, vol.23, issue.2, pp.193-228, 1990.
DOI : 10.24033/asens.1602

[. Calegari and T. Gee, Irr??ductibilit?? des repr??sentations galoisiennes associ??es ?? certaines repr??sentations automorphes de GL(n) pour n inf??rieur ou ??gal ?? 5, Annales de l???institut Fourier, vol.63, issue.5
DOI : 10.5802/aif.2817

[. Chenevier and M. Harris, Construction of automorphic Galois representations. II., Camb, J. Math, vol.1, issue.1, pp.53-73, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00851417

C. Chevalley, D. Théorèmes-d-'arithmétique, and J. , Deux Th??or??mes d'Arithm??tique, Journal of the Mathematical Society of Japan, vol.3, issue.1, pp.36-44, 1951.
DOI : 10.2969/jmsj/00310036

L. Clozel, On limit multiplicites of discrete series representations in spaces of automorphic forms, Inventiones Mathematicae, vol.236, issue.1, pp.265-284, 1986.
DOI : 10.1007/BF01388963

[. Clozel, Motifs et Formes Automorphes: Applications du Principe de Fonctorialité, Automorphic Forms, Shimura Varieties, and L-functions, Proceedings of a Conference held at the University of Michigan, 1988.

[. Clozel, Purity Reigns Supreme, International Mathematics Research Notices, pp.328-346, 2013.
DOI : 10.1093/imrn/rnr241
URL : http://imrn.oxfordjournals.org/cgi/content/short/2013/2/328

B. Conrad, Irreducible components of rigid spaces, Annales de l???institut Fourier, vol.49, issue.2, pp.473-541, 1999.
DOI : 10.5802/aif.1681

[. Chenevier and D. Renard, Level one algebraic cuspforms of classical groups of small ranks, Mem. Amer. Math. Soc, vol.9999, issue.120, 2014.

W. Casselman and J. Shalika, The unramified principal series of p-adic groups. II: The Whittaker function, Compos. Math, pp.41-207, 1980.

R. [. Enright and . Parthasarathy, A proof of a conjecture of Kashiware and Vergne, Lecture Notes in Math, vol.89, pp.74-90, 1980.
DOI : 10.1007/BF03179137

[. Fermigier, Annulation de la cohomologie cuspidale de sous-groupes de congruence de GL n, Math. Ann, pp.247-256, 1996.
DOI : 10.1007/bf01445250

S. Gelbart and H. Jacquet, A relation between automorphic representations of GL(2) and GL(3), Annales scientifiques de l, ENS, vol.11, issue.4, pp.471-542, 1978.

R. [. Goresky, R. Kottwitz, and . Macpherson, Discrete series characters and the Lefschetz formula for Hecke operators, Duke Math, J, vol.89, issue.3, pp.477-554, 1997.

W. Goldring, Abstract, Compositio Mathematica, vol.22, issue.02, pp.191-228, 2014.
DOI : 10.2307/2007066

H. Benedict, D. Gross, and . Pollack, On the Euler characteristic of the discrete spectrum, J. Number Theory, vol.110, issue.1, pp.136-163, 2005.

H. Benedict and . Gross, On the motive of a reductive group, Invent. Math, vol.130, issue.2, pp.287-313, 1997.

W. Teck-gan and J. Yu, Group schemes and local densities, Duke Math, J, vol.105, issue.3, pp.497-524, 2000.

[. Iwahori and H. Matsumoto, On some bruhat decomposition and the structure of the hecke rings of p-Adic chevalley groups, Publications math??matiques de l'IH??S, vol.254, issue.1, pp.5-48, 1965.
DOI : 10.1007/BF02684396

]. N. Jac40 and . Jacobson, A note on hermitian forms, Bull. Amer, Math. Soc, vol.46, pp.264-268, 1940.

[. Jacobowitz, Hermitian Forms Over Local Fields, American Journal of Mathematics, vol.84, issue.3, pp.441-465, 1962.
DOI : 10.2307/2372982

J. F. Johnson, Lie algebra cohomology and the resolution of certain Harish-Chandra modules, Mathematische Annalen, vol.71, issue.3, pp.377-393, 1984.
DOI : 10.1007/BF01456096

T. R. Owen and . Jones, An analogue of the BGG resolution for locally analytic principal series, J. Number Theory, vol.131, issue.9, pp.1616-1640, 2011.

. Kaletha, Rigid inner forms of real and p-adic groups, available at https://web.math.princeton

[. Kazhdan, Cuspidal geometry ofp-adic groups, Journal d'Analyse Math??matique, vol.111, issue.14, pp.1-36, 1986.
DOI : 10.1007/BF02792530

A. W. Knapp, Representation theory of semisimple groups, Princeton Mathematical Series, vol.36, 1986.
DOI : 10.1515/9781400883974

[. Kostant, On Whittaker vectors and representation theory, Inventiones Mathematicae, vol.158, issue.2, pp.101-184, 1978.
DOI : 10.1007/BF01390249

[. Kottwitz, Stable trace formula: Elliptic singular terms, Mathematische Annalen, vol.39, issue.3, pp.365-399, 1986.
DOI : 10.1007/BF01458611

R. E. Kottwitz and T. Numbers, Tamagawa Numbers, The Annals of Mathematics, vol.127, issue.3, pp.629-646, 1988.
DOI : 10.2307/2007007

]. R. Lan89 and . Langlands, On the classification of irreducible representations of real algebraic groups, Representation theory and harmonic analysis on semisimple Lie groups, Math. Surveys Monogr, vol.31, pp.101-170, 1989.

[. Loeffler, Overconvergent algebraic automorphic forms, Proceedings of the London Mathematical Society, vol.102, issue.2, pp.193-228, 2011.
DOI : 10.1112/plms/pdq019
URL : http://arxiv.org/abs/0901.2279

J. Lansky and D. Pollack, Hecke algebras and automorphic forms, Compositio Mathematica, vol.130, issue.1, pp.21-48, 2002.
DOI : 10.1023/A:1013715231943

D. [. Langlands and . Shelstad, On the definition of transfer factors, Mathematische Annalen, vol.259, issue.part 2, pp.219-271, 1987.
DOI : 10.1007/BF01458070

D. [. Langlands and . Shelstad, Descent for transfer factors, The Grothendieck Festschrift, Progr. Math, vol.87, pp.485-563, 1990.

S. Martens, The characters of the holomorphic discrete series, Proceedings of the National Academy of Sciences, vol.72, issue.9, pp.3275-3276, 1975.
DOI : 10.1073/pnas.72.9.3275

J. Mestre, Formules explicites et minorations de conducteurs de variétés algébriques, Compositio Math, vol.58, issue.2, pp.209-232, 1986.

P. Mezo, TEMPERED SPECTRAL TRANSFER IN THE TWISTED ENDOSCOPY OF REAL GROUPS, Journal of the Institute of Mathematics of Jussieu, vol.27, issue.03
DOI : 10.1006/jfan.1996.2976

[. Mezo, Character identities in the twisted endoscopy of real reductive groups, Mem. Amer, Math. Soc, vol.222, issue.1042, p.94, 2013.

D. Stephen and . Miller, The highest lowest zero and other applications of positivity, Duke Math, J, vol.112, issue.1, pp.83-116, 2002.

C. Moeglin and J. Waldspurger, Le spectre résiduel de GL(n), Annales scientifiques de l, ENS, vol.22, issue.4, pp.605-674, 1989.

G. Nebe and B. Venkov, On Siegel modular forms of weight 12, J

O. [. Timothy and . Meara, Introduction to quadratic forms, Classics in Mathematics, 2000.

S. Patrikis, On the sign of regular algebraic polarizable automorphic representations, Mathematische Annalen, vol.88, issue.1???3
DOI : 10.1007/s00208-014-1111-x

C. Poor and D. S. Yuen, Computations of spaces of Siegel modular cusp forms, Journal of the Mathematical Society of Japan, vol.59, issue.1, pp.185-222, 2007.
DOI : 10.2969/jmsj/1180135507

. [. Stein, The Sage Development Team, Sage Mathematics Software (Version, vol.611, 2014.

J. Serre, Cohomologie des groupes discrets, Prospects in mathematics (Proc. Sympos, pp.77-169, 1970.
DOI : 10.1007/bfb0058710
URL : http://archive.numdam.org/article/SB_1970-1971__13__337_0.pdf

[. Shahidi, A Proof of Langlands' Conjecture on Plancherel Measures; Complementary Series of ???-adic groups, The Annals of Mathematics, vol.132, issue.2, pp.132-273, 1990.
DOI : 10.2307/1971524

]. D. She08a and . Shelstad, Tempered endoscopy for real groups. I. Geometric transfer with canonical factors, Representation theory of real reductive Lie groups, Contemp . Math, vol.472, pp.215-246, 2008.

C. Siegel, Berechnung von Zetafunktionen an ganzzahligen Stellen, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II, vol.1969, pp.87-102, 1969.
DOI : 10.1007/978-3-642-61867-3_7

M. Tadi?, Representations of p-adic symplectic groups, Compositio Mathematica, vol.90, issue.2, pp.123-181, 1994.

R. Taylor, Galois representations associated to Siegel modular forms of low weight, Duke Math, J, vol.63, issue.2, pp.281-332, 1991.

R. Taylor, -adic representations associated to automorphic forms, Algebra & Number Theory, vol.6, issue.3, pp.405-435, 2012.
DOI : 10.2140/ant.2012.6.405
URL : https://hal.archives-ouvertes.fr/hal-00309715

R. Tsushima, An explicit dimension formula for the spaces of generalized automorphic forms with respect to Sp, Proc. Japan Acad, pp.139-142, 1983.

[. Tsuyumine, On Siegel Modular Forms of Degree Three, American Journal of Mathematics, vol.108, issue.4, pp.755-862, 1986.
DOI : 10.2307/2374517

]. G. Van-dijk, Computation of certain induced characters ofp-adic groups, Mathematische Annalen, vol.76, issue.4, pp.229-240, 1972.
DOI : 10.1007/BF01429876

. Vog78, A. David, and J. Vogan, Gel'fand-Kirillov dimension for Harish-Chandra modules, Invent. Math, vol.48, issue.1, pp.75-98, 1978.

A. David, J. Vogan, and G. J. Zuckerman, Unitary representations with nonzero cohomology, Compositio Math, vol.53, issue.1, pp.51-90, 1984.

J. Waldspurger, Stabilisation de la formule des traces tordue I: endoscopie tordue sur un corps local
URL : https://hal.archives-ouvertes.fr/hal-00932951

]. G. Wal63 and . Wall, On the conjugacy classes in the unitary, symplectic and orthogonal groups, J. Austral. Math. Soc, vol.3, pp.1-62, 1963.

]. N. Wal84 and . Wallach, On the constant term of a square integrable automorphic form, Operator algebras and group representations, Monogr. Stud. Math, vol.18, pp.227-237, 1980.

J. Waldspurger, Les facteurs de transfert pour les groupes classiques: un formulaire, manuscripta mathematica, vol.278, issue.1-2, pp.41-82, 2010.
DOI : 10.1007/s00229-010-0363-3
URL : https://hal.archives-ouvertes.fr/hal-00430586

C. Lawrence and . Washington, Introduction to cyclotomic fields, Graduate Texts in Mathematics, vol.83, 1997.

A. Weil, Adeles and algebraic groups, Progress in Mathematics, vol.23, 1982.
DOI : 10.1007/978-1-4684-9156-2