Bounds for GL(3) x GL(2) L-functions and GL(3) L-functions

被引:116
作者
Li, Xiaoqing [1 ]
机构
[1] SUNY Buffalo, Buffalo, NY 14260 USA
关键词
SELBERG L-FUNCTIONS; SUBCONVEXITY PROBLEM; EQUIDISTRIBUTION;
D O I
10.4007/annals.2011.173.1.8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we will give the subconvexity bounds for self-dual GL(3) L-functions in the t aspect as well as subconvexity bounds for self-dual GL(3) x GL(2) L-functions in the GL(2) spectral aspect.
引用
收藏
页码:301 / 336
页数:36
相关论文
共 36 条
[1]  
[Anonymous], 1997, GRAD STUD MATH
[2]  
Bernstein J, 2005, J DIFFER GEOM, V70, P129
[3]  
Burgess D. A., 1963, Proc. Lond. Math. Soc, V3, P524
[4]   The cubic moment of central values of automorphic L-functions [J].
Conrey, JB ;
Iwaniec, H .
ANNALS OF MATHEMATICS, 2000, 151 (03) :1175-1216
[5]   BOUNDS FOR AUTOMORPHIC L-FUNCTIONS .2. [J].
DUKE, W ;
FRIEDLANDER, JB ;
IWANIEC, H .
INVENTIONES MATHEMATICAE, 1994, 115 (02) :219-239
[6]   The subconvexity problem for Artin L-functions [J].
Duke, W ;
Friedlander, JB ;
Iwaniec, H .
INVENTIONES MATHEMATICAE, 2002, 149 (03) :489-577
[7]   BOUNDS FOR AUTOMORPHIC L-FUNCTIONS [J].
DUKE, W ;
FRIEDLANDER, J ;
IWANIEC, H .
INVENTIONES MATHEMATICAE, 1993, 112 (01) :1-8
[8]  
GOLDFELD D, 2006, CAMBRIDGE STUD ADV M, V99, DOI DOI 10.1017/CB09780511542923
[9]  
Goldfeld D, 2006, INT MATH RES NOTICES, V2006
[10]   THE SQUARE MEAN OF DIRICHLET SERIES ASSOCIATED WITH CUSP FORMS [J].
GOOD, A .
MATHEMATIKA, 1982, 29 (58) :278-295