尖点形式L函数的广义零点密度估计

数学季刊 ›› 2012, Vol. 27 ›› Issue (1): 79-86.

尖点形式L函数的广义零点密度估计

College of Information Technology, Shanghai Ocean University

收稿日期:2009-12-10 出版日期:2012-03-30 发布日期:2023-04-06
作者简介:LI Ying-jie(1980-), male, native of Liaocheng, Shandong, a lecturer of Shanghai Ocean University, Ph.D., engages in analytic number theory.
基金资助:
Supported by the NNSF of China(11071186)； Supported by the Science Foundation for the Excellent Youth Scholars of Shanghai(ssc08017)； Supported by the Doctoral Research Fund of Shanghai Ocean University

Grand Zero Density Estimates of L-functions Associated with Cusp Forms

College of Information Technology, Shanghai Ocean University

Received:2009-12-10 Online:2012-03-30 Published:2023-04-06
About author:LI Ying-jie(1980-), male, native of Liaocheng, Shandong, a lecturer of Shanghai Ocean University, Ph.D., engages in analytic number theory.
Supported by:

Supported by the NNSF of China(11071186)； Supported by the Science Foundation for the Excellent Youth Scholars of Shanghai(ssc08017)； Supported by the Doctoral Research Fund of Shanghai Ocean University

摘要/Abstract

摘要： In this paper a zero-density estimate of the large sieve type is given for the automorphic L-function L_f(s,χ), where f is a holomorphic cusp form and χ a Dirichlet character of mod q.

关键词: zero density, L-function, cusp form

Abstract: In this paper a zero-density estimate of the large sieve type is given for the automorphic L-function L_f(s,χ), where f is a holomorphic cusp form and χ a Dirichlet character of mod q.

Key words: zero density, L-function, cusp form

中图分类号:

O156.4

李英杰. 尖点形式L函数的广义零点密度估计[J]. 数学季刊, 2012, 27(1): 79-86.

LI Ying-jie. Grand Zero Density Estimates of L-functions Associated with Cusp Forms[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(1): 79-86.

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