ON THE COMPUTATION OF CLASS NUMBERS OF REAL ABELIAN FIELDS

被引：4

作者：

Hakkarainen, Tuomas ^{[1
]}

机构：

[1] Univ Turku, Dept Math & Tucs, Turku Ctr Comp Sci, FI-20014 Turku, Finland

来源：

MATHEMATICS OF COMPUTATION | 2009年 / 78卷 / 265期

关键词：

Class numbers; computation; abelian fields; units; CYCLOTOMIC FIELDS; EXTENSIONS; HEURISTICS; UNITS;

D O I：

10.1090/S0025-5718-08-02169-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give a procedure to search for prime divisors of class numbers of real abelian fields and present a table of odd primes < 10000 not dividing the degree that divide the class numbers of fields of conductor <= 2000. Cohen-Lenstra heuristics allow us to conjecture that no larger prime divisors should exist. Previous computations have been largely limited to prime power conductors.

引用

页码：555 / 573

页数：19

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