On the distribution of class groups of number fields

Details On the distribution of class groups of number fields On the distribution of class groups of number fields

2009-12-08

arxiv.org/abs/0912.1427v1

Mathematics

Number Theory

14 pages. To appear in Experimental Math

Scientific paper

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.

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