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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Selberg's conjectures and Artin $ L$-functions

Author(s): M. Ram Murty
Journal: Bull. Amer. Math. Soc. 31 (1994), 1-14.
MathSciNet review: 1242382
Retrieve article in: PDF

References | Additional information

References:

Bibliography

[AC]
J. Arthur and L. Clozel, Simple algebras, base change and the advanced theory of the trace formula, Ann. of Math. Stud., vol. 120, Princeton Univ. Press, Princeton NJ, 1990. MR 1007299 (90m:22041)

[A]
E. Artin, Collected papers, Addison-Wesley, Reading, MA, 1965. MR 0176888 (31:1159)

[B]
S. Bochner, On Riemann's functional equation with multiple gamma factors, Ann. of Math. (2) 67 (1958), 29-41. MR 0091304 (19:943d)

[BW]
A. Borel and N. Wallach, Continuous cohomology, discrete subgroups and representations of reductive groups, Ann. of Math. Stud., vol. 94, Princeton Univ. Press, Princeton, NJ, 1980. MR 554917 (83c:22018)

[CG]
B. Conrey and A. Ghosh, Selberg class of Dirichlet series: Small degrees, Duke Math. J. 72 (1993), 673-693. MR 1253620 (95f:11064)

[Co]
-, Automorphic forms, representations and L-functions, Proc. Sympos. Pure Math., vol. 33, Amer. Math. Soc., Providence, RI, 1979.

[F]
D. Flath, Decomposition of representations into tensor products, Automorphic Forms, Representations and L-functions, vol. 33, Amer. Math. Soc., Providence, RI, pp. 179-184. MR 546596 (81f:22028)

[GJ]
R. Godement and H. Jacquet, Zeta functions of simple algebras, Lecture Notes in Math., vol. 260, Springer-Verlag, Berlin and New York, 1972. MR 0342495 (49:7241)

[HM]
J. Hoffstein and R. Murty, L-series of automorphic forms on $ GL{_3}(R)$, Number Theory (J.-M. de Koninck and C. Levesque, eds.), Walter de Gruyter, Berlin and New York, 1989.

[JL]
H. Jacquet and R. Langlands, Automorphic forms on $ GL(2)$, Lecture Notes in Math., vol. 114, Springer-Verlag, Berlin and New York, 1970. MR 0401654 (53:5481)

[JS1]
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 (82m:10050a)

[JS2]
-, On Euler products and the classification of automorphic representations. II, Amer. J. Math. 103 (1981), 777-815. MR 623137 (82m:10050b)

[L1]
R. Langlands, Problems in the theory of automorphic forms, Lecture Notes in Math., vol. 170, Springer-Verlag, Berlin and New York, 1970. MR 0302614 (46:1758)

[L2]
-, Base change for $ GL(2)$, Ann. of Math. Stud., vol. 96, Princeton Univ. Press, Princeton, NJ, 1980.

[L3]
-, On the functional equations satisfied by Eisenstein series, Lecture Notes in Math., vol. 544, Springer-Verlag, New York, 1976. MR 0579181 (58:28319)

[M1]
M. Ram Murty, A motivated introduction to the Langlands program, Advances in Number Theory (F. Gouvea and N. Yui, eds.), Clarendon Press, Oxford, 1993, pp. 37-66. MR 1368410 (96j:11157)

[M2]
-, Selberg conjectures and Artin L-functions. II (to appear).

[S]
A. Selberg, Old and new conjectures and results about a class of Dirichlet series, Collected Papers, Volume II, Springer-Verlag, 1991, pp. 47-63. MR 1220477 (94f:11085)

[Sh]
F. Shahidi, On non-vanishing of L-functions, Bull. Amer. Math. Soc. (N.S.) 2 (1980), 462-464.

[V]
M. F. Vignéras, Facteurs gamma et équations fonctionelles, Lecture Notes in Math., vol. 627, Springer-Verlag, Berlin and New York, 1976.


Additional Information:

DOI: 10.1090/S0273-0979-1994-00479-3
PII: S 0273-0979(1994)00479-3
Copyright of article: Copyright 1994, American Mathematical Society




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