International Congress of Mathematicians

Automorphic L-functions and Functoriality 665[12] J. W. Cogdell, H. Kim, I. I. Piatetski-Shapiro and F. Shahidi, On lifting fromclassical groups to GL N , Pubi. Alath. IHES, 93 (2001), 5^30.[13] S. Friedberg and D. Goldberg, On local coefficients for nongeneric representationsof some classical groups, Comp. Alath., 116 (1999), 133^166.[14] S. Gelbart and H. Jacquet, A relation between automorphic representations ofGL(2) and,GL(3), Ann. Scient. Éc. Norm. Sup., 11( 1978), 471^552.[15] S. Gelbart and F. Shahidi, Boundedness of automorphic L-functions in verticalstrips, Journal of AA1S, 14 (2001), 79^107.[16] D. Ginzburg, S. Rallis and D. Soudry, Generic automorphic forms onSO(2n+l): functorial lift to GL(2n), endoscopy and base change, IMRN 14(2001), 729^764.[17] Harish-Chandra, Automorphic forms on semisimple Lie groups, SLN 62 (1968),Berlin-Heidelberg-New York.[18] Al. Harris and R. Taylor, On the geometry and cohomology of some simpleShimura varieties, Annals of Alath. Studies, no. 151, Princeton University-Press, 2001.[19] G. Henniart, Une preuve simple des conjectures de Langlands pour GL(n) surun corps p-adique, Invefnt. Alath., 139 (2000), 439—155.[20] G. Henniart, Progrès récents en fonctorialité de Langlands, Seminaire Bourbaki,Juin 2001, Exposé 890, 890-1 to 890-21.[21] H. Jacquet, I. Piatetski-Shapiro and J. Shalika, Rankin-selberg convolutions,Amer. J. Alath., 105 (1983), 367-164.[22] , Relvement cubique non normal, C. R. Acad. Sci. Paris Sr. I Alath.,292, no. 12 (1981), 567-571.[23] H. Kim, Functoriality for the exterior square of GL4 and symmetric fourth ofGL 2 , preprint (2000).[24] , Langlands-Shahidi method and poles of automorphic L-functions: Applicationto exterior square L-functions, Can. J. Alath., 51 (1999), 835-849.[25] , Langlands-Shahidi method and poles of automorphic L-functions II,Israel J. Alath., 117 (2000), 261^284.[26] , Residual spectrum of odd orthogonal groups, IMRN, 17 (2000), 873^906.[27] H. Kim and P. Sarnak, Refined estimates towards the Ramanujan and Selbergconjectures, Appendix 2 to [23].[28] H. Kim and F. Shahidi, Functorial products for GL 2 x GL ?J and the symmetriccube for GL 2 , Annals of Alath., (to appear).[29] , Cuspidality of symmetric powers with applications, Duke Alath. J., 112(2002), 177^197.[30] , Functorial products for GL 2 x GL ?J and functorial symmetric cube forGL 2 , CR. Acad. Sci. Paris, 331 (2000), 599^604.[31] , Symmetric cube L-functions for GL 2 are entire, Ann. of Alath., 150(1999), 645^662.[32] Al. Krishnamurthy, The weak Asai transfer to GL(4) via Langlands-Shahidimethod, Thesis, Purdue University (2002).[33] R. P. Langlands, On the Functional Equations Satisfied by Eisenstein Series,