One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke L-functions
One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke L-functions
复制标题
二次和四次 Hecke L 函数低点零点的一级密度
DOI：
10.4153/s0008414x1900021x
复制
发表时间：
2020
影响因子：
0.7
通讯作者：
Zhao Liangyi
中科院分区：
文献类型：
--
作者：
Gao Peng;Zhao Liangyi
在本文中，我们证明了高斯场的二次和四次 Hecke L 函数族的低位零点的一些单能级密度结果。作为推论，我们推断出二次族和四次族中至少分别有 94.27% 和 5% 的成员不会在中心点消失。
In this paper we prove some one-level density results for the low-lying zeros of families of quadratic and quartic Hecke L-functions of the Gaussian field. As corollaries, we deduce that at least 94.27% and 5%, respectively, of the members of the quadratic family and the quartic family do not vanish at the central point.