Dedekind sums and class numbers of imaginary abelian number fields

被引：0

作者：

Louboutin, S. R. ^{[1
]}

机构：

[1] Aix Marseille Univ, CNRS, Cent Marseille, I2M, Marseille, France

来源：

ACTA MATHEMATICA HUNGARICA | 2023年 / 170卷 / 2期

关键词：

Dedekind sum; Dirichlet character; L-function; imaginary quadratic field; class number;

D O I：

10.1007/s10474-023-01369-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As a consequence of their work, Bruce C. Berndt, Ronald J. Evans, Larry Joel Goldstein and Michael Razar obtained a formula for the square of the class number of an imaginary quadratic number field in terms of Dedekind sums. We give a short proof of it and also express the relative class numbers of imaginary abelian number fields in terms of Dedekind sums.

引用

页码：704 / 708

页数：5

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