Generic transfer from GSp(4) to GL(4)

被引:31
作者
Asgari, M
Shahidi, F
机构
[1] Inst Adv Study, Sch Math, Princeton, NJ 08450 USA
[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
关键词
Langlands functoriality; automorphic representation; L-function;
D O I
10.1112/S0010437X06001904
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We establish the Langlands functoriality conjecture for the transfer from the generic spectrum of GSp(4) to GL(4) and give a criterion for the cuspidality of its image. We apply this to prove results toward the generalized Ramanujan conjecture for generic representations of GSP(4).
引用
收藏
页码:541 / 550
页数:10
相关论文
共 33 条
[1]  
[Anonymous], PUBL MATH IHES
[2]  
Arthur J, 2004, CONTRIBUTIONS TO AUTOMORPHIC FORMS, GEOMETRY, AND NUMBER THEORY, P65
[3]   Generic transfer for general spin groups [J].
Asgari, M ;
Shahidi, F .
DUKE MATHEMATICAL JOURNAL, 2006, 132 (01) :137-190
[4]   UNITARITY AND FUNCTORIALITY [J].
COGDELL, JW ;
PIATETSKISHAPIRO, II .
GEOMETRIC AND FUNCTIONAL ANALYSIS, 1995, 5 (02) :164-173
[5]  
Ginzburg D, 2001, INT MATH RES NOTICES, V2001, P729
[6]  
ISHI T, 2005, SPINOR L FUNCTIONS G
[7]   RANKIN-SELBERG CONVOLUTIONS [J].
JACQUET, H ;
PIATETSKIISHAPIRO, II ;
SHALIKA, JA .
AMERICAN JOURNAL OF MATHEMATICS, 1983, 105 (02) :367-464
[8]   ON EULER PRODUCTS AND THE CLASSIFICATION OF AUTOMORPHIC-FORMS .2. [J].
JACQUET, H ;
SHALIKA, JA .
AMERICAN JOURNAL OF MATHEMATICS, 1981, 103 (04) :777-815
[9]   ON EULER PRODUCTS AND THE CLASSIFICATION OF AUTOMORPHIC REPRESENTATIONS .1. [J].
JACQUET, H ;
SHALIKA, JA .
AMERICAN JOURNAL OF MATHEMATICS, 1981, 103 (03) :499-558
[10]  
Kim H. H., 2003, J AM MATH SOC, V16