Experimental Mathematics

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 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.

Article information

Source
Experiment. Math., Volume 19, Issue 4 (2010), 465-474.

Dates
First available in Project Euclid: 4 October 2011

Permanent link to this document
https://projecteuclid.org/euclid.em/1317758105

Mathematical Reviews number (MathSciNet)
MR2778658

Zentralblatt MATH identifier
1297.11139

Keywords
Class groups Cohen-Lenstra heuristic computational

Citation

Malle, Gunter. On the Distribution of Class Groups of Number Fields. Experiment. Math. 19 (2010), no. 4, 465--474. https://projecteuclid.org/euclid.em/1317758105


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