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Facteurs locaux pour GL(2). (French) Zbl 0448.22015


MSC:

22E50 Representations of Lie and linear algebraic groups over local fields
11S37 Langlands-Weil conjectures, nonabelian class field theory
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References:

[1] J. CASSELS et A. FROHLICH , Algebraic Number Theory , Academic Press, New York, 1967 . MR 35 #6500 | Zbl 0153.07403 · Zbl 0153.07403
[2] P. DELIGNE , (a) Formes modulaires et représentations de GL (2) ; (b) Les constantes des équations fonctionnelles des fonctions L ; Modular Functions of One Variable II (Lecture Notes 349, Springer, Berlin, 1972 ). MR 50 #240 | Zbl 0271.14011 · Zbl 0271.14011
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[6] ’ P. GÉRARDIN , Cuspidal Unramified Series for Central Simple Algebras Over Local Fields, Automorphic forms, representations, and L-functions , P.S.P.M., XXIII, I, p. 157-170 ; Amer. Math. Soc., 1979 . MR 81j:22022 | Zbl 0416.22019 · Zbl 0416.22019
[7] G. HENNIART , Représentations de degré 2 de Gal (Q2/Q2) (C. R. Acad. Sc., Paris, 1977 ). MR 56 #259 | Zbl 0355.12013 · Zbl 0355.12013
[8] H. JACQUET et R. P. LANGLANDS , Automorphic Forms on GL (2) (Lecture Notes 114, Springer, Berlin, 1966 ). MR 53 #5481 | Zbl 0236.12010 · Zbl 0236.12010 · doi:10.1007/BFb0058988
[9] P. KUTZKO , On the Supercuspidal Representations of GL (2) , I, II (Amer. J. Math., vol. 100, 1978 , p. 43-60 et 705-716). MR 58 #22411a | Zbl 0421.22012 · Zbl 0421.22012 · doi:10.2307/2373906
[10] ’ P. KUTZKO , The Exceptional Representations of GL (2) (à paraître). · Zbl 0545.22018
[11] R. P. LANGLANDS , Base change for GL (2) , Institute for Advanced Study, 1975 .
[12] J.-P. SERRE , Corps locaux , Hermann, Paris, 1968 . MR 50 #7096 | Zbl 0137.02601 · Zbl 0137.02601
[13] T. SHINTANI , On Certain Square Integrable Irreductible Unitary Representations of Some p-Adic Linear Groups (J. Math. Soc. Japan, vol. 20, 1968 , p. 522-565). Article | MR 38 #2252 | Zbl 0194.05602 · Zbl 0194.05602 · doi:10.2969/jmsj/02030522
[14] A. WEIL , Basic Number Theory , 2nd edition, Springer, 1973 . · Zbl 0267.12001
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