Moments and zero density estimates for Dirichlet L-functions

被引：0

作者：

Sono, Keiju ^{[1
]}

机构：

[1] Kobe Univ, Dept Math, Kobe, Hyogo, Japan

来源：

TURKISH JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 05期

关键词：

Dirichlet L-functions; Riemann zeta-function; zero density estimate; POWER MOMENT; LARGE VALUES;

D O I：

10.3906/mat-2104-29

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we estimate the density of zeros of primitive Dirichlet L-functions in the half-plane R(s) > 1/2, under the assumption of a plausible conjecture on high moments of Dirichlet L-functions on the critical line. We conditionally improve the results of Huxley [9], Jutila [13], Heath-Brown [5, 6] and Bourgain [1].

引用

页码：2050 / 2072

页数：23

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