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On the 4-rank of class groups of quadratic number fields

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Abstract

We prove that the 4-rank of class groups of quadratic number fields behaves as predicted in an extension due to Gerth of the Cohen–Lenstra heuristics.

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Authors and Affiliations

  1. Mathématique, Bât. 425, Univ. Paris–Sud, Campus d’Orsay, F-91405, Orsay Cedex, France

    Étienne Fouvry

  2. Mathematisches Institut, Heinrich-Heine-Universität, Universitätsstr. 1, 40225, Düsseldorf, Germany

    Jürgen Klüners

Authors
  1. Étienne Fouvry
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  2. Jürgen Klüners
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Correspondence to Étienne Fouvry or Jürgen Klüners.

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Mathematics Subject Classification (2000)

11R29, 11R11, 11R45

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Fouvry, É., Klüners, J. On the 4-rank of class groups of quadratic number fields. Invent. math. 167, 455–513 (2007). https://doi.org/10.1007/s00222-006-0021-2

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  • DOI: https://doi.org/10.1007/s00222-006-0021-2

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