One Level Density for Cubic Galois Number Fields

被引：3

作者：

Meisner, Patrick ^{[1
]}

机构：

[1] Tel Aviv Univ, IL-6997801 Tel Aviv, Israel

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2019年 / 62卷 / 01期

基金：

欧洲研究理事会;

关键词：

L-function; one level density; HIGH POWERS; TRACES; ZEROS;

D O I：

10.4153/CMB-2018-002-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Katz and Sarnak predicted that the one level density of the zeros of a family of L-functions would fall into one of five categories. In this paper, we show that the one level density for L-functions attached to cubic Galois number fields falls into the category associated with unitary matrices.

引用

页码：149 / 167

页数：19

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