The Cohen–Lenstra heuristic: Methodology and results
نویسنده
چکیده
Article history: Received 3 December 2009 Available online 27 January 2010 Communicated by Gunter Malle
منابع مشابه
Cohen-Lenstra Heuristics of Quadratic Number Fields
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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In 1983, Cohen and Lenstra in [1] provided a heuristic for estimating the distribution of class groups of quadratic fields, and, more generally, abelian extensions of Q. These heuristics were extended by Cohen and Martinet in [2] and [3] in 1987 and 1990 to fields of more general type. Recently, Malle in [9] has subjected these heuristics to careful scrutiny by computing class groups for many f...
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تاریخ انتشار 2010