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On the local Langlands conjecture for GL(2). (English) Zbl 0385.12006


MSC:

11S37 Langlands-Weil conjectures, nonabelian class field theory

References:

[1] Buhler, J.: An Icosahedral Form of Weight One. In: Modular functions of one variableV. Lecture Notes in Mathematics 601, pp. 289-294, Berlin-Heidelberg-New York: Springer 1977 · Zbl 0363.12009
[2] Callahan, T.: Some Orbital Integrals and a Technique for Counting Representations ofGL 2(F). To appear · Zbl 0385.22010
[3] Casselman, W.: The Restriction of a Representation ofGL 2(K) toGL 2(O). Math. Ann.206, 311-318 (1973) · Zbl 0253.20062 · doi:10.1007/BF01355984
[4] Deligne, P.: Formes modulaires et representations deGL(2). In: Modular functions of one variable II. Lecture Notes in Mathematics 349, pp. 55-106, Berlin-Heidelberg-New York: Springer 1973
[5] Deligne, P.: Les constantes des equations fonctionnelles des fonctionsL. In: Modular functions of one variable II. Lecture Notes in Mathematics 349, pp. 501-597, Berlin-Heidelberg-New York: Springer 1973
[6] Gelbart, S.: Automorphic forms and Artin’s conjecture. To apear in: Proceedings of the 1976 Bonn Conference on Modular Forms VI · Zbl 0368.10023
[7] Howe, R.: Kirillov Theory for CompactP-adic Groups. Preprint. Yale University. 1977 · Zbl 0385.22007
[8] Jaquet, H., Langlands, R.P.: Automorphic Forms onGL(2). Lecture Notes in Mathematics 114, Berlin-Heidelberg-New York: Springer 1970
[9] Langlands, R.P.: Base change forGL(2): The theory of Saito-Shintani with applications. IAS Notes, Princeton, 1975
[10] Serre, J-P.: Corps Locaux, 2nd Edition. Paris: Hermann 1968
[11] Serre, J-P.: Modular Forms of Weight One and Galois Representations. In: Algebraic Number Fields (L-Functions and Galois Properties). New York: Academic Press 1977
[12] Weil, A.: Basic Number Theory, 3rd Edition. Berlin-Heidelberg-New York: Springer 1974 · Zbl 0326.12001
[13] Weil, A.: Exercises Dyadiques. Inventiones Math.27, 1-22 (1974) · Zbl 0307.12017 · doi:10.1007/BF01389962
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