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.
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页码：555 / 573
页数：19
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