A ZERO DENSITY ESTIMATE FOR THE SELBERG CLASS
A ZERO DENSITY ESTIMATE FOR THE SELBERG CLASS
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DOI：
10.1142/s1793042107000894
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发表时间：
2007-06
影响因子：
0.7
通讯作者：
A. Mukhopadhyay;K. Srinivas
中科院分区：
文献类型：
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作者：
A. Mukhopadhyay;K. Srinivas
众所周知，一个特定的L-函数的矩的界可以导致该L-函数的零密度结果。在本文中，我们推广到所有的L-函数的Selberg类，通过假设一定的二次幂矩。作为应用，在平方L-函数的情形下，改进了已有的结果。
It is well known that bounds on moments of a specific L-function can lead to zero-density result for that L-function. In this paper, we generalize this argument to all L-functions in the Selberg class by assuming a certain second power moment. As an application, it is shown that in the case of symmetric-square L-function, this result improves the existing one.