ONE-LEVEL DENSITY OF LOW-LYING ZFROS OF QUADRATIC HECKE L-FUNCTIONS OF IMAGINARY QUADRATIC NUMBER FIELDS

被引：2
|
作者：
Gao, Peng [1 ]
Zhao, Liangyi [2 ]
机构：
[1] Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China
[2] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2022年 / 112卷 / 02期
关键词：
one level density; low-lying zeros; quadratic Hecke character; Hecke L-functions; DIRICHLET L-FUNCTIONS; ELLIPTIC-CURVES; GAUSS SUMS; ZEROS; FAMILIES; STATISTICS; RANK;
D O I：
10.1017/S1446788720000397
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove a one level density result for the low-lying zeros of quadratic Hecke L-functions of imaginary quadratic number fields of class number 1. As a corollary, we deduce, essentially, that at least (19 - cot(1/4))/16 = 94.27 . . . % of the L-functions under consideration do not vanish at 1/2.
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页码：170 / 192
页数：23
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