Modification of Cohen-Lenstra heuristics for ideal class groups and numbers of certain real quadratic fields

被引：0

作者：

L.C.Washington ^{[1
]}

机构：

[1] Department of Mathematics, University of Maryland, College Park, MD20742, USA

来源：

Chinese Science Bulletin | 1997年 / 23期

关键词：

real quadratic field; class group; class number; heuristics;

D O I：

暂无

中图分类号：

O152 [群论];

学科分类号：

070104 ;

摘要：

THE famous Cohen-Lenstra heuristics aroused wide insterest and research. Here for a certaintype of real quadratic fields with elements P of potential order p in their ideal classes, modifi-cations of the Cohen-Lenstra heuristics for the probability that the class number h is a multipleof p, and the probability that P is of order p, are presented. Via a quite large amount ofcomputations, it was found that both of these probability predictions agree fairly well with thenumerical data.

引用

页码：1959 / 1962

页数：4