A quadratic field which is Euclidean but not norm-Euclidean (Q1331745)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A quadratic field which is Euclidean but not norm-Euclidean |
scientific article; zbMATH DE number 624939
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quadratic field which is Euclidean but not norm-Euclidean |
scientific article; zbMATH DE number 624939 |
Statements
A quadratic field which is Euclidean but not norm-Euclidean (English)
0 references
8 August 1995
0 references
The author uses earlier methods of \textit{E. S. Barnes} and \textit{H. P. F. Swinnerton-Dyer} [Acta Math. 87, 259-323 (1952; Zbl 0046.276)] to prove with the help of a computer that the ring \(\mathbb{Z}[ {{1+ \sqrt {69}} \over 2}]\) is Euclidean. This is the first example of a quadratic number field shown to be Euclidean but not norm-Euclidean.
0 references
Euclidean quadratic field
0 references
0.90353805
0 references
0 references
0.8703517
0 references
0.86850893
0 references
0 references
0.8619498
0 references
0.8531012
0 references
0.8520427
0 references
