Title
On the distribution of class groups of number fields
Abstract
We propose a modification of the predictions of the Cohen-Lenstra heuristic for class groups of number fields in the case that roots of unity are present in the base field. As evidence for this modified formula we provide a large set of computational data that show close agreement with it. Furthermore, our predicted formula agrees with results on class groups of function fields in positive characteristic for which the base field contains appropriate roots of unity.
Year
DOI
Venue
2010
10.1080/10586458.2010.10390636
EXPERIMENTAL MATHEMATICS
Keywords
Field
DocType
Class groups,Cohen-Lenstra heuristic,computational data
Topology,Heuristic,Special values of L-functions,Pure mathematics,Root of unity,Algebraic number field,Mathematics
Journal
Volume
Issue
ISSN
19.0
4.0
1058-6458
Citations 
PageRank 
References 
0
0.34
1
Authors
1
Name
Order
Citations
PageRank
Gunter Malle1289.42