On the subconvexity problem for GL(3) x GL(2) L-functions

被引:5
作者
Khan, Rizwanur [1 ]
机构
[1] Univ Gottingen, Math Inst, D-37073 Gottingen, Germany
基金
欧洲研究理事会;
关键词
L-functions; subconvexity; BOUNDS;
D O I
10.1515/forum-2012-0033
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Fix g a self-dual Hecke-Maass form for SL3(Z). Let f be a holomorphic newform of prime level q and fixed weight. Conditional on a lower bound for a short sum of squares of Fourier coefficients of f, we prove a subconvexity bound in the q aspect for L(s, g x f) at the central point.
引用
收藏
页码:897 / 913
页数:17
相关论文
共 21 条
[1]  
[Anonymous], 2014, Table of Integrals, Series, and Products
[2]   HECKE OPERATORS ON GAMMAO(M) [J].
ATKIN, AOL ;
LEHNER, J .
MATHEMATISCHE ANNALEN, 1970, 185 (02) :134-&
[3]   SUBCONVEXITY FOR TWISTED L-FUNCTIONS ON GL(3) [J].
Blomer, Valentin .
AMERICAN JOURNAL OF MATHEMATICS, 2012, 134 (05) :1385-1421
[4]  
FRIEDLANDER J, 1992, MICH MATH J, V39, P153
[5]  
Goldfeld D., 2006, Cambridge Studies in Advanced Mathematics, V99
[6]  
Goldfeld D, 2006, INT MATH RES NOTICES, V2006
[7]   Convexity bounds for L-functions [J].
Heath-Brown, D. R. .
ACTA ARITHMETICA, 2009, 136 (04) :391-395
[8]  
IWANIEC H, 1992, J REINE ANGEW MATH, V428, P139
[9]  
Iwaniec H., 2004, Amer. Math. Soc. Colloq. Publ., V53
[10]  
Iwaniec H, 2000, PUBL MATH-PARIS, P55