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
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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.
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页码：704 / 708
页数：4
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