Fractional moments of automorphic L-functions on GL(m)

被引：7
作者：
Pi, Qinghua [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2011年 / 32卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Moments; Automorphic L-functions; GRC; RIEMANN ZETA-FUNCTION; CUSP FORMS; POWER MOMENTS;
D O I：
10.1007/s11401-011-0650-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let pi be an irreducible unitary cuspidal representation of GL(m)(A(Q)), m >= 2. Assume that pi is self-contragredient. The author gets upper and lower bounds of the same order for fractional moments of automorphic L-function L(s, pi) on the critical line under Generalized Ramanujan Conjecture; the upper bound being conditionally subject to the truth of Generalized Riemann Hypothesis.
引用
收藏
页码：631 / 642
页数：12
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