Changement du corps de base pour les représentations de GL(2)
Séminaire Bourbaki : vol. 1977/78, exposés 507-524, Séminaire Bourbaki, no. 20 (1979), Talk no. 510, 24 p.
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Gérardin, Paul. Changement du corps de base pour les représentations de $GL(2)$, in Séminaire Bourbaki : vol. 1977/78, exposés 507-524, Séminaire Bourbaki, no. 20 (1979), Talk no. 510, 24 p. http://archive.numdam.org/item/SB_1977-1978__20__65_0/

[1] R.P. Langlands - Base change for GL(2) , the theory of Saito-Shintani with applications, Notes, I.A.S., Princeton, 1975.

[2] Automorphic forms, Representations, and L-functions, A.M.S. Summer Institute 1977, Corvallis, à paraître.

[contient notamment : Automorphic L-functions (A.. Borel),

Number theoretic back-ground (J. Tate),

Decomposition of representations into tensor products (D. Flath),

General properties of representations (P. Cartier),

Forms on GL(2) from the analytic point of view (S. Gelbart - H. Jacquet),

Base change for GL(2) (R. Kottwitz, P. Gérardin, J.-P. Labesse).]

[3] K. Doi, H. Naganuma - On the algebraic curves uniformized by arithmetical automorphic functions, Ann. of Math., 86 (1967), 449-460. | MR | Zbl

[4] K. Doi, H. Naganuma - On the functional equation of certain Dirichletseries, Inventiones Math., 9 (1964), 1-14. | MR | Zbl

[5] G. Shimura - Arithmetic theory of automorphic functions, Iwanami Shoten Pub. and Princeton Univ. Press, 1971. | MR | Zbl

Voir aussi les articles de M. Cohen, S. Kudla, et D. Zagier dans

[6] Modular functions of one variable V , VI, à paraître aux Lecture Notes in Math., (vol. 601 et ? ), Springer-Verlag.

[7] H. Saito - Automorphic forms and algebraic extensions of number fields, L. N. n° 8, Tokyo, 1975. | MR | Zbl

[8] T. Shintani - On liftings of holomorphic automorphic forms, U.S.-Japan Seminar on number Theory, Ann Arbor, Mich., 1975.

[9] T. Shintani - Two remarks on irreducible characters of finite general linear groups, J. Math. Soc. Jap., 28 (1976), 396-414. | MR | Zbl

[10] H. Jacquet, R.P. Langlands - Automorphic forms on GL(2) , Lecture Notes in Math., vol. 114, Springer-Verlag, 1970. | MR | Zbl

[11] A. Robert - Formes automorphes sur GL(2) (Travaux de H. Jacquet et R. P. Langlands), Sém. Bourbaki, exposé 415, Lecture Notes in Math., vol. 317, Springer-Verlag, 1973. | Numdam | MR | Zbl

[12] S. Gelbart - Automorphic forms on adèle groups, Ann. of Math. St. 83, Princeton Univ. Press, 1975. | MR | Zbl

[13] Modular functions of one variable II, Lecture Notes in Math., vol. 349, Springer-Verlag, 1973.

[14] R.P. Langlands - Problems in the theory of automorphics forms, in Lecture Notes in Math., vol. 170, Springer-Verlag, 18-86, 1970. | MR | Zbl

[15] A. Borel - Formes automorphes et séries de Dirichlet (d'après R.P. Langlands), Lecture Notes in Math., Sém. Bourbaki, exposé 466, vol. 567, Springer-Verlag, 1977. | Numdam | MR | Zbl

[16] S. Gelbart, H. Jacquet - A relation between automorphic forms on GL(2) and GL(3), Proc. Nat. Acad. Sci. U.S.A., 1976, 3348-3350. | MR | Zbl

[17] H. Jacquet - Automorphic forms on GL(2) , II, Lecture Notes in Math., vol.278, Springer-Verlag, 1972. | MR | Zbl

[18] H. Jacquet, I.I. Piatetskii-Shapiro, J. Shalika - Construction of cusp-forms for GL(3) , L.N. n° 16, Univ. of Maryland, 1975. | MR

[19] H. Jacquet, J. Shalika - Comparaison des formes automorphes du groupe linéaire, C.R.Acad. Sci. Paris, 284 (1977), 741-744. | MR | Zbl

[20] J.-P. Labesse, R.P. Langlands - L-indistinguishability for SL(2) , Preprint I.A.S., Princeton, 1977. | MR

[21] W. Casselman - On somes results of Atkin and Lehner, Math. Ann., 201(1973),301-334. | MR | Zbl

[22] J. Cassels, A. Frohlich - Algebraic number theory, Acad. Press., 1967. | MR | Zbl

[23] R. Godement, H. Jacquet - Zeta functions a simple algebras, Lecture Notes in Math., vol. 260, Springer-Verlag,1970. | Zbl

[24] I. Satake - Theory of spherical functions on reductive algebraic groups over p-adic fields, Pub. Math. I.H.E.S., 18(1963), 5-69. | Numdam | MR | Zbl

[25] J.-P. Serre - Représentations linéaires des groupes finis, Hermann, Paris, 1967. | MR | Zbl