ON ABELIAN CUBIC FIELDS WITH LARGE CLASS NUMBER

被引：0
|
作者：
Dousselin, Jeremy [1 ]
机构：
[1] Univ Lorraine, CNRS, IECL, F-54000 Nancy, France
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 08期
关键词：
LARGE SIEVE INEQUALITY;
D O I：
10.1090/proc/16827
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the large values of class numbers of cubic fields, showing that one can find arbitrary long sequences of "close" abelian cubic number fields with class numbers as large as possible. We also give a first step toward an explicit lower bound for such extreme values of class numbers of abelian cubic fields.
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页码：3255 / 3264
页数：10
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