MULTIPLE ZEROS OF DEDEKIND ZETA FUNCTIONS

被引：2

作者：

Browkin, Jerzy ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00956 Warsaw, Poland

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2013年 / 49卷 / 02期

关键词：

Dedekind's zeta functions; Artin's L-functions; zeros in the critical strip; induced characters;

D O I：

10.7169/facm/2013.49.2.15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that there are Dedekind's zeta functions with multiple zeros in the critical strip of arbitrarily large multiplicity. There are given examples of such zeros of the Dedekind zeta function of the field Q(zeta(3), 3 root 5).

引用

页码：383 / 390

页数：8

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