Non-Galois cubic fields which are Euclidean but not norm-Euclidean

被引：1
|
作者：
Clark, DA
机构：
[1] Department of Mathematics, Brigham Young University, Provo
来源：
MATHEMATICS OF COMPUTATION | 1996年 / 65卷 / 216期
关键词：
D O I：
10.1090/S0025-5718-96-00764-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Weinberger in 1973 has shown that under the Generalized Riemann Hypothesis for Dedekind zeta functions, an algebraic number field with infinite unit group is Euclidean if and only if it is a principal ideal domain. Using a method recently introduced by us, we give two examples of cubic fields which are Euclidean but not norm-Euclidean.
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页码：1675 / 1679
页数：5
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