Dedekind zeta-functions and Dedekind sums

被引：0
|
作者：
Hongwen Lu
Rongzheng Jiao
Chungang Ji
机构：
[1] Tongji University,Institute of Mathematics
来源：
Science in China Series A: Mathematics | 2002年 / 45卷
关键词：
quadratic number fields; Dedekind zeta functions; Dedekind sums;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we use Dedekind zeta functions of two real quadratic number fields at -1 to denote Dedekind sums of high rank. Our formula is different from that of Siegel’s. As an application, we get a polynomial representation of ζK(-1): ζK(-1) = 1/45(26n3 -41n± 9),n = ±2(mod 5), where K = Q(√5q), prime q = 4n2 + 1, and the class number of quadratic number field K2 = Q(vq) is 1.
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页码：1059 / 1065
页数：6
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