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.
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页码：704 / 708
页数：5
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