Integral bases and fundamental units of the cubic fields \(\mathbb{Q}(w)\) defined by \(w^ 3+aw-1=0\) (Q1341262)
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: Integral bases and fundamental units of the cubic fields \(\mathbb{Q}(w)\) defined by \(w^ 3+aw-1=0\) |
scientific article; zbMATH DE number 706675
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral bases and fundamental units of the cubic fields \(\mathbb{Q}(w)\) defined by \(w^ 3+aw-1=0\) |
scientific article; zbMATH DE number 706675 |
Statements
Integral bases and fundamental units of the cubic fields \(\mathbb{Q}(w)\) defined by \(w^ 3+aw-1=0\) (English)
0 references
14 September 1995
0 references
The authors determine explicitly an integral basis and a fundamental unit of \(\mathbb{Q} (w)\), where \(w^ 3+ aw -1 =0\), \(a\in \mathbb{Z} \smallsetminus \{0, -2\}\). They generalize and complete results of \textit{R. Morikawa} [Abh. Math. Semin. Univ. Hamb. 42, 72-77 (1974; Zbl 0297.12007)] and \textit{M. Ishida} [ibid. 39, 245-250 (1973; Zbl 0311.12005)].
0 references
integral basis
0 references
fundamental unit
0 references
