On totally real cubic orders whose unit groups are of type \(\langle a\theta+b,c\theta+d\rangle\) (Q1768112)
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scientific article; zbMATH DE number 2145300
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On totally real cubic orders whose unit groups are of type \(\langle a\theta+b,c\theta+d\rangle\) |
scientific article; zbMATH DE number 2145300 |
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On totally real cubic orders whose unit groups are of type \(\langle a\theta+b,c\theta+d\rangle\) (English)
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14 March 2005
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Let \(a,b,c,d\) be rational integers. The author gives conditions which ensure that there exists a totally real cubic integer \(\theta\) such that the numbers \(a\theta+b\), \(c\theta+d\) form a pair of fundamental units in the order \(\mathbb Z[\theta]\).
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cubic orders
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cubic units
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