On the distribution of class groups of number fields

Gunter Malle

doi:10.1063/1.3507135

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arXiv · 0912.1427

On the distribution of class groups of number fields

Gunter Malle

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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.

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Gunter Malle. 2009-12-08. On the distribution of class groups of number fields. https://doi.org/10.1063/1.3507135

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