| 一类自守L函数的零点密度估计 |
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| 引用本文： | 代金辉,刘 恒. 一类自守L函数的零点密度估计[J]. 浙江大学学报(理学版), 2014, 41(3): 249-253. DOI: 10.3785/j.issn.1008-9497.2014.03.002 |
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| 作者姓名： | 代金辉 刘 恒 |
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| 作者单位： | [1]山东工商学院数学与信息科学学院,山东烟台264005 [2]山东省烟台第二中学,山东烟台264000 |
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| 基金项目： | Foundation item： Supported by National Natural Science Foundation of China（11101245） ; Youth Fund of Shandong Institute of Business and Technology（2013QN054）. |
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| 摘 要： | 考虑了带特征的Mass形式的自守L函数的零点密度估计问题.证明了L(s,fχ)的零点密度估计具有下面的形式:∑χN(σ,T,χ)(qT)A(σ)(1－σ)+ε.
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| 关 键 词： | 零点密度估计 尖形式 自守L-函数 广义Riemann假设 |
| 收稿时间： | 2013-05-13; |
Zero density estimates of a kind of automorphic L function |
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| DAI Jinhui,LIU Heng. Zero density estimates of a kind of automorphic L function[J]. Journal of Zhejiang University(Sciences Edition), 2014, 41(3): 249-253. DOI: 10.3785/j.issn.1008-9497.2014.03.002 |
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| Authors: | DAI Jinhui LIU Heng |
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| Affiliation: | 1. School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, Shandong Province, China; 2. The Second Middle School of Yantai, Shandong Province, Yantai 264000, Shandong Province, China) |
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| Abstract: | The zero density estimates of automorphic L-functions associated with cusp form are investigated. Define： L（s,f x）= ∞∑ n=1 λ（n）/ns, Rc（s）〉1, it is proved that the zero density estimates as follows ： ∑x N（σ,T,x）≤（qT） A（σ）（1-σ）＋ε.If q= 1, the above formula is the problem of zero density for automorphic L-funetion L（s,f）. |
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| Keywords: | zero-density estimate cusp form automorphic L-function generalized Riemann hypothesis |
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