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On the local Langlands conjecture in prime dimension

Author(s): Philip Kutzko; Allen Moy
Journal: Bull. Amer. Math. Soc. 9 (1983), 323-325.
MSC (1980): Primary 12B25, 20G05; Secondary 22E50, 12B15
MathSciNet review: 714995
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References:

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[D] P. Deligne, Les constantes des equations fonctionelles des fonctions L, Lecture Notes in Math., vol. 349, Springer-Verlag, 1973, pp. 501-597. MR 349635

[GJ] R. Godement and H. Jacquet, Zeta functions of simple algebras, Lecture Notes in Math., vol. 260, Springer-Verlag, 1972. MR 342495

[He] G. Henniart, La conjecture de Langlands locale pour GL(3), Inst. Hautes Étude Sci. notes, 1982. MR 693313

[Ho] R. Howe, Tamely ramified supercuspidal representations of GL (F), Pacific J. Math. 73 (1977), 437-460. MR 492087

[JL] H. Jacquet and R. P. Langlands, Automorphic forms on GL(2), Lecture Notes in Math., vol. 114, Springer-Verlag, 1970. MR 401654

[JPS] H. Jacquet, I. Piatetski-Shapiro and J. A. Shalika, Automorphic forms on GL(3), Ann. of Math. (2) 109 (1979), 169-258. MR 519356

[K] P. Kutzko, The Langlands conjecture for GL2 of a local field, Ann. of Math. (2) 112 (1980), 381-412. MR 592296

[Ko] H. Koch, On the local Langlands conjecture for central division algebras of index p, Invent. Math. 62 (1980), 243-268. MR 595588

[M] Allen Moy, Local constants and the tame Langlands correspondence, Thesis, Univ. of Chicago, 1982.

[S] J. P. Serre, Corps Locaux, Hermann, Paris, 1968. MR 354618

[Z] A. V. Zelevinsky, Induced representations of reductive p-adic groups, Ann. Sci. École Norm. Sup. 13 (1980), 165-210. MR 584084

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Additional Information:

DOI: 10.1090/S0273-0979-1983-15192-3
PII: S 0273-0979(1983)15192-3

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