|
Selberg's Conjectures and Artin $L$-functions
Author(s):
M.
Ram
Murty
Journal:
Bull. Amer. Math. Soc.
31
(1994),
1-14.
MSC (1991):
Primary 11M41, 11R42
MathSciNet review:
1242382
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- [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
- [A]
- E. Artin, Collected papers, Addison-Wesley, Reading, MA, 1965. MR 176888
- [B]
- S. Bochner, On Riemann{\rm '}s functional equation with multiple gamma factors, Ann. of Math. (2) \textbf{67} (1958), 29--41. MR 91304
- [BW]
- A. Borel and N. Wallach, \emph{Continuous cohomology, discrete subgroups and representations of reductive groups} vol.~94, Princeton Univ. Press, Princeton, NJ, 1980. MR 554917
- [CG]
- B. Conrey and A. Ghosh, Selberg class of Dirichlet series\,\RM : Small degrees, {\rm Duke Math. J.} \textbf{72} (1993), 673--693. MR 1253620
- [Co]
- B. Conrey and A. Ghosh, Automorphic forms, representations and $L$-functions, Proc. Sympos. Pure Math., vol. {33}, Amer. Math. Soc., Providence, RI, 1979. MR
- [F]
- D. Flath, \emph{Decomposition of representations into tensor products}, Amer. Math. Soc., Providence, RI pp.~179--184. MR 546596
- [GJ]
- R. Godement and H. Jacquet, \emph{Zeta functions of simple algebras} vol.~260, Springer-Verlag, Berlin and New York, 1972. MR 342495
- [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. MR 1024578
- [JL]
- H. Jacquet and R. Langlands, \emph{Automorphic forms on $GL(2)$} vol.~114, Springer-Verlag, Berlin and New York, 1970. MR 401654
- [JS1]
- H. Jacquet and J. A. Shalika, On Euler products and the classification of automorphic representations. {\rm I}, Amer. J. Math \textbf{103} (1981), 499--558. MR 618323
- [JS2]
- H. Jacquet and J. A. Shalika, On Euler products and the classification of automorphic representations. {\rm II}, Amer. J. Math. \textbf{103} (1981), 777--815. MR 623137
- [L1]
- R. Langlands, \emph{Problems in the theory of automorphic forms}, Springer-Verlag, Berlin and New York, 1970. MR 302614
- [L2]
- R. Langlands, \emph{Base change for $GL(2)$} vol.~96, Princeton Univ. Press, Princeton, NJ, 1980. MR 574808
- [L3]
- R. Langlands, \emph{On the functional equations satisfied by Eisenstein series} vol.~544, Springer-Verlag, New York, 1976. MR 579181
- [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
- [M2]
- M. Ram Murty, Selberg conjectures and Artin $L$-functions. {\rm II}. MR
- [S]
- A. Selberg, \emph{Old and new conjectures and results about a class of Dirichlet series}. MR
- [Sh]
- F. Shahidi, On non-vanishing of $L$-functions, Bull. Amer. Math. Soc. (N.S.) \textbf{2} (1980), 462--464. MR 561534
- [V]
- M. F. Vign\'eras, \emph{Facteurs gamma et \'equations fonctionelles} vol.~627, Springer-Verlag, Berlin and New York, 1976. MR 485739
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1991):
11M41, 11R42
Retrieve articles in all Journals with MSC
(1991):
11M41, 11R42
Additional Information:
DOI:
10.1090/S0273-0979-1994-00479-3
PII:
S 0273-0979(1994)00479-3
|
