GAPS BETWEEN ZEROS OF DEDEKIND ZETA-FUNCTIONS OF QUADRATIC NUMBER FIELDS. II

被引：2

作者：

Bui, H. M. ^{[1
]}

Heap, Winston P. ^{[2
]}

Turnage-Butterbaugh, Caroline L. ^{[3
]}

机构：

[1] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

[2] Norwegian Univ Sci & Technol, Dept Math Sci, NO-7491 Trondheim, Norway

[3] Duke Univ, Dept Math, Durham, NC 27708 USA

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2016年 / 67卷 / 03期

关键词：

RANDOM-MATRIX THEORY; CONSECUTIVE ZEROS;

D O I：

10.1093/qmath/haw021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a quadratic number field and zeta K(s) be the associated Dedekind zeta-function. We show that there are infinitely many gaps between consecutive zeros of zeta K(s) on the critical line which are >2.866 times the average spacing.

引用

页码：467 / 481

页数：15

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