On the distribution of class groups of number fields
Number Theory
2015-05-14 v1
Abstract
We propose a modification of the predictions of the Cohen--Lenstra heuristic for class groups of number fields in the case where roots of unity are present in the base field. As evidence for this modified formula we provide a large set of computational data which show close agreement.
Cite
@article{arxiv.0912.1427,
title = {On the distribution of class groups of number fields},
author = {Gunter Malle},
journal= {arXiv preprint arXiv:0912.1427},
year = {2015}
}
Comments
14 pages. To appear in Experimental Math