Abstract
We establish a link between some heuristic asymptotic formulas (due to Cohen and Lenstra) concerning the moments of the p–part of the class groups of quadratic fields and formulas giving the frequency of the values of the p–rank of these class groups.
Furthermore we report on new results for 4–ranks of class groups of quadratic number fields.
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Fouvry, É., Klüners, J. (2006). Cohen–Lenstra Heuristics of Quadratic Number Fields. In: Hess, F., Pauli, S., Pohst, M. (eds) Algorithmic Number Theory. ANTS 2006. Lecture Notes in Computer Science, vol 4076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11792086_4
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DOI: https://doi.org/10.1007/11792086_4
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