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| Selberg＇s Normal Density Theorem for Automorphic L-Functions for GLm | |
| 引用本文： | Yan QU. Selberg＇s Normal Density Theorem for Automorphic L-Functions for GLm[J]. 数学学报(英文版), 2007, 23(10): 1903-1908. DOI: 10.1007/s10114-005-0926-5 |
| 作者姓名： | Yan QU |
| 作者单位： | Department of Mathematics, Shandong University, Ji＇nan 250100, P. R. China |
| 基金项目： | Supported by NSFC Grant #10531060, and by a Ministry of Education Major Grant Program in Sciences and Technology |
| 摘 要： | Let π be an irreducible unitary cuspidal representation of GLm（AQ） with m ≥ 2, and L（s, Tr） the L-function attached to π. Under the Generalized Riemann Hypothesis for L（s,π）, we estimate the normal density of primes in short intervals for the automorphic L-function L（s, π）. Our result generalizes the corresponding theorem of Selberg for the Riemann zeta-function. |
| 关 键 词： | 自守L函数 广义黎曼假设 常态密度 数学 |
| 收稿时间： | 2005-10-11 |
| 修稿时间： | 2005-10-11 |
Selberg's Normal Density Theorem for Automorphic |
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| Yan Qu. Selberg's Normal Density Theorem for Automorphic |
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| Authors: | Yan Qu |
| Affiliation: | (1) Department of Mathematics, Shandong University, Jinan, 250100, P. R. China |
| Abstract: | Let π be an irreducible unitary cuspidal representation of GL m  with m ≥ 2, and L(s, π) the L-function attached to π. Under the Generalized Riemann Hypothesis for L(s, π), we estimate the normal density of primes in short intervals for the automorphic L-function L(s, π). Our result generalizes the corresponding theorem of Selberg for the Riemann zeta-function. Supported by NSFC Grant #10531060, and by a Ministry of Education Major Grant Program in Sciences and Technology |
| Keywords: | automorphic L-functions generalized Riemann Hypothesis normal density |
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