Available in electronic format
Available in print format
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

A weak Ramanujan conjecture for generic cuspidal spectrum of quasi-split groups

Author(s): Freydoon Shahidi
Journal: Bull. Amer. Math. Soc. 15 (1986), 195-200.
MSC (1985): Primary 10D40, 12A70, 22E55; Secondary 22E35
MathSciNet review: 854553
Retrieve article in: PDF

References | Similar articles | Additional information

References:

1.
I. N. Bernstein and A. V. Zelevinsky, Induced representations of reductive p-adic groups, Ann. Sci. École Norm. Sup. 10 (1977), 441-472. MR 579172
2.
A. Borel, Automorphic L-functions, Proc. Sympos. Pure Math., vol. 33, part II, Amer. Math. Soc., Providence, R.I., 1979, pp. 27-61. MR 546608
3.
D. Flath, Decomposition of representations into tensor products, Proc. Sympos. Pure Math., vol. 33, part I, Amer. Math. Soc., Providence, R.I., 1979, pp. 179-183. MR 546596
4.
S. Gelbart and H. Jacquet, A relation between automorphic representations of GL (2) and GL (3), Ann. Sci. École Norm. Sup. 11 (1978), 471-542. MR 533066
5.
R. Howe and I. I. Piatetski-Shapiro, A counterexample to the "Generalized Ramanujan Conjecture" for (, Proc. Sympos. Pure Math., vol. 33, part 1, Amer. Math. Soc., Providence, R.I., 1979, pp. 315-322. MR 546605
6.
H. Jacquet, On the residual spectrum of GL (n), Lie Group Representations II, Lecture Notes in Math., vol. 1041, Springer-Verlag, Berlin and New York, 1983, pp. 185-208. MR 748508
7.
H. Jacquet and J. A. Shalika, On Euler products and the classification of automorphic representations. I, Amer. J. Math. 103 (1981), 499-558. MR 618323
8.
R. P. Langlands, On the functional equations satisfied by Eisenstein series, Lecture Notes in Math., vol. 544, Springer-Verlag, Berlin and New York, 1976. MR 579181
9.
R. P. Langlands, Euler products, Yale Univ. Press, New Haven, 1971. MR 419366
10.
R. P. Langlands, Problems in the theory of automorphic forms, Lecture Notes in Math., vol. 170, Springer-Verlag, Berlin and New York, 1970. pp. 18-86. MR 302614
11.
R. P. Langlands, Automorphic representations, Shimura varieties, and motives, Proc. Sym-pos. Pure Math., vol. 33, Amer. Math. Soc., Providence, R.I., 1979, pp. 205-246. MR 546619
12.
C. J. Moreno and F. Shahidi, The L-functions L (s, Symm (r), π), Smith's Memorial Volume, Canad. Math. Bull. 28 (1985), 405-410.
13.
I. Satake, Spherical functions and Ramanujan conjecture, Proc. Sympos. Pure Math., vol. 9, Amer. Math. Soc., Providence, R.I., 1966, pp. 258-264. MR 211955
14.
F. Shahidi, Functional equation satisfied by certain L-functions, Compositio Math. 37 (1978), 171-208. MR 498494
15.
F. Shahidi, On certain L-functions, Amer. J. Math. 103 (1981), 297-356. MR 610479
16.
A. J. Silberger, Introduction to harmonic analysis on reductive p-adic groups, Math. Notes, Princeton Univ. Press, vol. 23, Princeton, N.J., 1979. MR 544991
17.
A. V. Zelevinsky, Induced representations of reductive p-adic groups. II. On irreducible representations of GL (n), Ann. Sci. École Norm. Sup. 13 (1980), 165-210. MR 584084

Similar Articles:

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1985): 10D40, 12A70, 22E55, 22E35

Retrieve articles in all Journals with MSC (1985): 10D40, 12A70, 22E55, 22E35


Additional Information:

DOI: 10.1090/S0273-0979-1986-15470-4
PII: S 0273-0979(1986)15470-4


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2008, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google