Gunter Malle
Published 2009-12-08Version 1
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.
Comments: 14 pages. To appear in Experimental Math
Journal: Experiment. Math. 19 (2010), 465--474
$\ell$-Torsion in Class Groups via Dirichlet $L$-functions
On $p$-class groups of relative cyclic $p$-extensions
On the average size of $3$-torsion in class groups of $C_2 \wr H$-extensions
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