Formes automorphes et séries de Dirichlet
Séminaire Bourbaki : vol. 1974/75, exposés 453-470, Séminaire Bourbaki, no. 17 (1976), Talk no. 466, p. 183-222
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     author = {Borel, Armand},
     title = {Formes automorphes et s\'eries de Dirichlet},
     booktitle = {S\'eminaire Bourbaki : vol. 1974/75, expos\'es 453-470},
     author = {Collectif},
     series = {S\'eminaire Bourbaki},
     publisher = {Springer-Verlag},
     number = {17},
     year = {1976},
     note = {talk:466},
     pages = {183-222},
     zbl = {0329.10019},
     mrnumber = {447118},
     language = {fr},
     url = {http://www.numdam.org/item/SB_1974-1975__17__183_0}
}
Borel, Armand. Formes automorphes et séries de Dirichlet, in Séminaire Bourbaki : vol. 1974/75, exposés 453-470, Séminaire Bourbaki, no. 17 (1976), Talk no. 466, pp. 183-222. http://www.numdam.org/item/SB_1974-1975__17__183_0/

[1] E. Artin and J. Tate - Class Field Theory, Benjamin, N.Y., 1967 | MR 223335 | Zbl 0176.33504

[2] A. Borel - Opérateurs de Hecke et Fonctions Zêta, Sém. Bourbaki, 18e année, 1965/66, Exp. 307, Benjamin, N.Y. | Numdam | Zbl 0203.23602

[3] W. Casselman - On representations of GL2 and the arithmetic of modular curves, Modular Functions of One Variable II, Springer Lecture Notes 349 (1973), 107-142. | MR 340257 | Zbl 0302.22020

[4] P. Deligne - Formes modulaires et représentations l-adiques, Sém. Bourbaki, 1968/69, Exp. 355, Springer Lecture Notes 179, 139-186. | Numdam | Zbl 0206.49901

[5] P. Deligne - Les Constantes des Equations Fonctionnelles, Sém, Delange-Pisot-Poitou, 11e année, 1969/70, n° 19 bis. | Numdam | MR 280450 | Zbl 0215.08301

[6] P. Deligne - Travaux de Shimura, Sém. Bourbaki, 1970/71, Exp. 389, Springer Lecture Notes 244, 123-165. | Numdam | MR 498581 | Zbl 0225.14007

[7] P. Deligne - Formes modulaires et représentations de CL2 , Modular Functions of One Variable, Springer Lecture Notes 349 (1973), 55-106. | MR 347738 | Zbl 0271.10032

[8] P. Deligne - Les constantes des équations fonctionnelles des fonctions L, ibid., 501-597. | MR 349635 | Zbl 0271.14011

[9] P. Deligne - La conjecture de Weil I, Publ. Math. I.H.E.S., vol. 43 (1974), 273-307. | Numdam | MR 340258 | Zbl 0287.14001

[10] P. Deligne et J.-P. Serre - Formes modulaires de poids 1, Annales E.N.S., (4), t. 7 (1974), 507-530. | Numdam | MR 379379 | Zbl 0321.10026

[11] K. Doi and H. Naganuma - On the functional equation of certain Dirichlet series, Inv. Math. 9 (1969), 1-14. | MR 253990 | Zbl 0182.54301

[12] V.G. Drinfeld - Modules elliptiques, Math. Sbornik 94 (1974), 594-627. | Zbl 0321.14014

[13] S.S. Gelbart - Automorphic functions on adele groups, Annals of Math. Studies 83 (1975), Princeton University Press. | Zbl 0329.10018

[14] I.M. Gelfand, M.I. Graev and I.I. Piateckii-Sapiro - Representation theory and automorphic functions, Saunders, Philadelphia 1969. | MR 233772 | Zbl 0177.18003

[15] I.M. Gelfand and D.A. Kazdan - Representations of the group GL(n,K) where K is a local field, Inst. for Applied Mathematics, Moscow 1971. | MR 333080

[16] R. Godement - Fonctions automorphes et produits eulériens, Sém. Bourbaki, 1968/69, Exp. 349, Springer Lecture Notes 179, 37-53. | Numdam | Zbl 0217.43303

[17] R. Godement - Notes on Jacquet-Langlands Theory, Institute for Advanced Study, Princeton, N. J., 1970.

[18] R. Godement and H. Jacquet - Zeta-Functions of Simple Algebras, Springer Lecture Notes 260, 1972. | MR 342495 | Zbl 0244.12011

[19] Harish-Chandra - Automorphic Forms on a Semi -Simple Group, Springer Lecture Notes 62, 1968.

[20] H. Jacquet - Automorphic Forms on GL(2), Part II, Springer Lecture Notes 278, 1972. | MR 562503 | Zbl 0243.12005

[21] H. Jacquet - Euler products and automorphic forms, Proc. I.C.M. Vancouver. | Zbl 0333.10013

[22] H. Jacquet and R.P. Langlands - Automorphic Forms on GL(2), Springer Lecture Notes 114, 1970. | MR 401654 | Zbl 0236.12010

[23] H. Jacquet and J.A. Shalika - Hecke theory for GL(3), Comp. Math. (to appear). | Numdam | MR 354559 | Zbl 0318.22022

[24] R.P. Langlands - On the functional equations satisfied by Eisenstein series, preprint, Yale University. | MR 579181

[25] R.P. Langlands - Euler Products, Yale University Press, 1967. | MR 419366 | Zbl 0231.20016

[26] R.P. Langlands - Representations of abelian algebraic groups, preprint, Yale University, 1968.

[27] R.P. Langlands - Problems in the theory of automorphic forms, in Lectures in Modern Analysis and Applications, Springer Lecture Notes 170 (1970), 18-86. | MR 302614 | Zbl 0225.14022

[28] R.P. Langlands - On Artin's L-functions, in Complex Analysis, Rice-Univ, Studies 56 (1970), 23-28. | Zbl 0245.12011

[29] R.P. Langlands - Modular forms and l-adic representations, in Modular Functions of One Variable II, Springer Lecture Notes 349 (1973), 361-500. | MR 354617 | Zbl 0279.14007

[30] R.P. Langlands - On the classification of irreducible representations of real algebraic groups, preprint. | MR 1011897

[31] R.P. Langlands - Some contemporary problems with origins in the Jugendtraum, to appear. | MR 437500 | Zbl 0345.14006

[32] A. Ogg - Modular Forms and Dirichlet Series, Benjamin Lecture Notes, N.Y., 1968. | MR 256993 | Zbl 0191.38101

[33] I.I. Piatecki-Šapiro - Zeta-functions of modular curves, Modular Functions of One Variable II, Springer Lecture Notes 349, 1973, 317-360. | MR 337975

[34] R.A. Rankin - Contributions to the theory of Ramanujan's function T(n) and similar arithmetical functions, I, II, Proc. Cambridge Phil. Soc. 35 (1936), 351-372. | MR 411 | Zbl 0021.39201

[35] I. Satake - Theory of spherical functions on reductive algebraic groups, Publ. Math. I.H.E.S., 18 (1963), 5-69. | Numdam | MR 195863 | Zbl 0122.28501

[36] I. Satake - Spherical functions and Ramanujan conjecture, in Proc. Symp. Pure Math., 9 (1966), 258-264, A.M.S., Providence, R. I. | MR 211955 | Zbl 0202.41102

[37] J.-P. Serre - Abelian l-Adic Representations, Benjamin Lecture Notes, 1968. | MR 263823

[38] J.-P. Serre - Facteurs Locaux des Fonctions Zêta des Variétés Algébriques (Définitions et Conjectures), Sém. Delange-Pisot-Poitou, 11e année, 1969/70, Exp. 19. | Numdam | Zbl 0214.48403

[39] J.A. Shalika and S. Tanaka - On an explicit construction of a certain class of automorphic forms, Amer. J. Math., 91 (1969), 1049-1076. | MR 291087 | Zbl 0217.43302

[40] H. Shimizu - On zeta functions of quaternion algebras, Annals of Math., (2) 81 (1965), 166-193. | MR 171771 | Zbl 0201.37903

[41] G. Shimura - Introduction to the Arithmetic Theory of Automorphic Functions, Iwanami Shoten and Princeton Univ. Press, 1971. | MR 314766 | Zbl 0221.10029

[42] G. Shimura - Modular forms of half-integral weight, in Modular Functions of One Variable I, Springer Lecture Notes 320 (1973), 57-74. | MR 480346 | Zbl 0268.10014

[43] G. Shimura - On the holomorphy of certain Dirichlet series, Proc. London Math. Soc. (3), 31 (1975), 79-98. | MR 382176 | Zbl 0311.10029

[44] J. Tate - Fourier analysis in number fields and Hecke's zeta-functions, in Algebraic Number Theory, Cassels and Fröhlich, ed., Thompson Book Co., 1967, pp. 305-347. | MR 217026

[45] A. Weil - Sur la théorie du corps de classes, Jour. Math. Soc. Japan, 3 (1951), 1-35. | MR 44569 | Zbl 0044.02901

[46] A. Weil - On a certain type of characters of the idèle-class group of an algebraic number field, Proc. Int. Colloq. on Alg. Number Theory, Tokyo-Nikko, 1955, 1-7. | MR 83523 | Zbl 0073.26303

[47] A. Weil - Ueber die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen, Math. Annalen 168 (1967), 149-167. | MR 207658 | Zbl 0158.08601

[48] A. Weil - Basic Number Theory, Grund1. der Math. Wiss. 144, Springer, 1967. | Zbl 0176.33601

[49] A. Weil - Dirichlet Series and Automorphic Forms, Springer Lecture Notes 189, 1971. | Zbl 0218.10046