Formes automorphes et séries de Dirichlet
Séminaire Bourbaki : vol. 1974/75, exposés 453-470, Séminaire Bourbaki, no. 17 (1976), Exposé no. 466, 40 p.

Voir la notice de l'acte provenant de la source

MR   Zbl

Borel, Armand. Formes automorphes et séries de Dirichlet, dans Séminaire Bourbaki : vol. 1974/75, exposés 453-470, Séminaire Bourbaki, no. 17 (1976), Exposé no. 466, 40 p.. http://geodesic.mathdoc.fr/item/SB_1974-1975__17__183_0/
@incollection{SB_1974-1975__17__183_0,
     author = {Borel, Armand},
     title = {Formes automorphes et s\'eries de {Dirichlet}},
     booktitle = {S\'eminaire Bourbaki : vol. 1974/75, expos\'es 453-470},
     series = {S\'eminaire Bourbaki},
     note = {talk:466},
     pages = {183--222},
     year = {1976},
     publisher = {Springer-Verlag},
     number = {17},
     mrnumber = {447118},
     zbl = {0329.10019},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/item/SB_1974-1975__17__183_0/}
}
TY  - CHAP
AU  - Borel, Armand
TI  - Formes automorphes et séries de Dirichlet
BT  - Séminaire Bourbaki : vol. 1974/75, exposés 453-470
AU  - Collectif
T3  - Séminaire Bourbaki
N1  - talk:466
PY  - 1976
SP  - 183
EP  - 222
IS  - 17
PB  - Springer-Verlag
UR  - http://geodesic.mathdoc.fr/item/SB_1974-1975__17__183_0/
LA  - fr
ID  - SB_1974-1975__17__183_0
ER  - 
%0 Book Section
%A Borel, Armand
%T Formes automorphes et séries de Dirichlet
%B Séminaire Bourbaki : vol. 1974/75, exposés 453-470
%A Collectif
%S Séminaire Bourbaki
%Z talk:466
%D 1976
%P 183-222
%N 17
%I Springer-Verlag
%U http://geodesic.mathdoc.fr/item/SB_1974-1975__17__183_0/
%G fr
%F SB_1974-1975__17__183_0

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

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

[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. | Zbl | MR

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

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

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

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

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

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

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

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

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

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

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

[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

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

[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. | Zbl | MR

[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. | Zbl | MR

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

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

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

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

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

[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. | Zbl | MR

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

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

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

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

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

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

[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. | Zbl | MR

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

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

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

[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. | Zbl | Numdam

[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. | Zbl | MR

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

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

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

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

[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

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

[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. | Zbl | MR

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

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

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