1549380232-Automorphic_Forms_and_Applications__Sarnak_

(jair2018) #1

328


[Co]

[CPSl]

[CPS2]

[CPS3]

[CPSSJ


[CKPSSl]

[CKPSS2]
[DI]

[GJ]


[GSl]

[GS2]

[HCJ

[HT]

[Hel]


[He2]


[JPSSl]


[JPSS2]


[KSh]


[Kl]


[K2]


FREYDOON SHAHIDI, LANGLANDS-SHAHIDI METHOD

J .W. Cogdell, L-functions and converse theorems for GL(n), these
Proceedings.
J .W. Cogdell and I.I. Piatetski-Shapiro, Converse theorems for GLn,
Publ. Math. IHES 79 (1994), 157 - 214.
___ Converse theorems for GLn II, J. Reine Angew. Math. , 507
(1999)' 165 - 188.
___ Converse Theorems, Functoriality and Applications to Number
Theory, Proceedings of the International Congress of Mathematicians,
Vol. II (2002, Beijing) 119 - 128, Higher Education Press, Beijing, China
2002.
J.W. Cogdell, I.I. Piatetski-Shapiro and P. Sarnak, Estimates for
Hilbert modular L - functions and applications, in preparation.
J.W. Cogdell, H. Kim, I.I. Piatetski- Shapiro and F. Shahidi, On lifting
from classical groups to GLN, Publ. Math. IHES 93 (2001), 5-30.
___ Functoriality for classical groups, in preparation.
W. Duke and H. Iwaniec, Estimates for coefficients of L-functions I,
in Automorphic Forms and Analytic Number Theory, eds R. Murty,
CRM, Montreal (1990), 43-48.
S. Gelbart and H. Jacquet, A relation between automorphic represen-

tations of GL(2) and GL(3), Ann. Scient. Ee. Norm. Sup. 11 (1978),


471-552.


S. Gelbart and F. Shahidi, Boundedness of automorphic L - functions
in vertical strips, Journal of AMS 14 (2001), 79 - 107.
___ Analytic Properties of A utomorphic L - functions, Perspectives
in Mathematics, Vol. 6, ed J. Coates and S. Helgason, Academic Press,
Inc., Harcourt Brace Javanovich, Publisher, Boston-San Diego-New
York (1988).
Harish-Chandra, A utomorphic forms on semisimple Lie groups, SLN
62 (1968), Berlin-Heidelberg-New York.
M. Harris and R. Taylor, On the geometry and cohomology of some
simple Shimura varieties, Annals of Math. Studies, no. 151 , Princeton
University Press (2001).
G. Henniart, Une preuve simple des conjectures de Langlands pour
GL(n) sur un corps p - adique, Invent. Math. 139 (2000), 439-455.
___ Progres recents en fonctorialite de Langlands, Seminaire Bour-
baki, Juin 2001, Expose 890, 890-1 to 890-21.
H. J acquet, I. Piatetski-Shapiro and J. Shalika, Rankin-Selberg convo-
lutions, Amer. J. Math. 105 (1983), 367-464.
___ R elvement cubique non normal, C.R. Acad. Sci. Paris Sr. I
Math. 292 , no. 12 (1981), 567-571.
D. Keys and F. Shahidi Artin L-functions and normalization of inter-

twining operators, Ann. Scient. Ee. Norm. Sup. 21 (1988), 67-89.


H. Kim On local L-functions and normalized intertwining operators,
Canad. J. Math., toappear.
---Langlands- Shahidi method and poles of automorphic L-
functions: Application to exterior square L - functions, Can. J. Math.
51 (1999), 835-849.
Free download pdf