| Fractional Moments of Automorphic L-Functions on GL（m） |
| |
| 引用本文： | Qinghua PI. Fractional Moments of Automorphic L-Functions on GL（m）[J]. 数学年刊B辑(英文版), 2011, 32(4): 631-642. DOI: 10.1007/s11401-011-0650-7 |
| |
| 作者姓名： | Qinghua PI |
| |
| 作者单位： | School of Mathematics, Shandong University, Jinan 250100, China. |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 10971119）. |
| |
| 摘 要： | Let π be an irreducible unitary cuspidal representation of GLm(AQ), m ≥ 2.Assume that π is self-contragredient. The author gets upper and lower bounds of the sameorder for fractional moments of automorphic L-function L(s, π) on the critical line underGeneralized Ramanujan Conjecture; the upper bound being conditionally subject to thetruth of Generalized Riemann Hypothesis.
|
| 关 键 词： | GL 分数 函数 黎曼假设 不可约 临界线 广义 上限 |
Fractional Moments of Automorphic L-Functions on GL(m) |
| |
| Qinghua PI. Fractional Moments of Automorphic L-Functions on GL(m)[J]. Chinese Annals of Mathematics,Series B, 2011, 32(4): 631-642. DOI: 10.1007/s11401-011-0650-7 |
| |
| Authors: | Qinghua PI |
| |
| Affiliation: | 1.School of Mathematics,Shandong University,Jinan,China |
| |
| Abstract: | Let π be an irreducible unitary cuspidal representation of GLm ( mathbbAmathbbQ )GL_m left( {mathbb{A}_mathbb{Q} } right), 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. |
| |
| Keywords: | Moments Automorphic L-functions GRC |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
|
点击此处可从《数学年刊B辑(英文版)》下载全文 |
