Dedekind sums and class numbers of imaginary abelian number fields

被引：0

作者：

S. R. Louboutin

机构：

[1] Aix Marseille Université,

[2] CNRS,undefined

来源：

Acta Mathematica Hungarica | 2023年 / 170卷

关键词：

Dedekind sum; Dirichlet character; -function; imaginary quadratic field; class number; 11F20; 11M20; 11R11; 11R20; 11R29;

D O I：

暂无

中图分类号：

学科分类号：

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：4

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