On Dirichlet biquadratic fields

被引：0

作者：

Fouvry, Etienne ^{[1
]}

Koymans, Peter ^{[2
]}

机构：

[1] Univ Paris Saclay, CNRS, Lab Math Orsay, F-91405 Orsay, France

[2] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

来源：

JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX | 2022年 / 34卷 / 03期

关键词：

NUMBER; HEURISTICS;

D O I：

10.5802/jtnb.1220

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence of a subset, with positive natural density, of squarefree integers n > 0such that the4-rank of the ideal class group of Q(root-n, root n)is omega(3)(n)-1, where omega(3)(n)is the number of prime divisors of n that are3modulo4. Recall that for the class groups associated to Q(root n) or Q(root-n)an analogous subset of n does not exist

引用

页码：637 / 646

页数：11

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