THE SUBCONVEXITY PROBLEM FOR GL2

被引：0
作者：
Michel, Philippe [1 ,2 ]
Venkatesh, Akshay [3 ]
机构：
[1] Ecole Polytech Fed Lausanne, Lausanne, Switzerland
[2] Univ Montpellier 2, Montpellier, France
[3] Stanford Univ, Stanford, CA 94305 USA
来源：
PUBLICATIONS MATHEMATIQUES DE L'IHES, NO 111 | 2010年 / 111卷
基金：
美国国家科学基金会;
关键词：
SELBERG L-FUNCTIONS; RANKIN-SELBERG; TRILINEAR FORMS; AUTOMORPHIC-FORMS; CENTRAL VALUES; HYBRID BOUNDS; REPRESENTATIONS; EQUIDISTRIBUTION; COEFFICIENTS; CONDUCTOR;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Generalizing and unifying prior results, we solve the subconvexity problem for the L-functions of GL(1) and GL(2) automorphic representations over a fixed number field, uniformly in all aspects. A novel feature of die present method is the softness of our arguments; this is largely due to a consistent use of canonically normalized period relations, such as those supplied by the work of Waldspurger and Ichino-Ikeda.
引用
收藏
页码：171 / 271
页数：101
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