Fractional Moments of Automorphic L-Functions on GL(m)  

作　　者：Qinghua PI 

机构地区：[1]School of Mathematics, Shandong University, Jinan 250100, China.

出　　处：《Chinese Annals of Mathematics,Series B》2011年第4期631-642,共12页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 10971119)

摘　　要：Let πr be an irreducible unitary cuspidal representation of GL,^（AQ）, m ≥ 2. Assume that π is self-contragredient. The author gets upper and lower bounds of the same order for fractional moments of automorphic L-function L（s, π） on the critical line under Generalized Ramanujan Conjecture; the upper bound being conditionally subject to the truth of Generalized Riemann Hypothesis.

关 键 词：MOMENTS Automorphic L-functions GRC 

分 类 号：O112[理学—数学] TP311[理学—基础数学]