A Diophantine equation appearing in Diophantine approximation (Q1866440)
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scientific article; zbMATH DE number 1893615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Diophantine equation appearing in Diophantine approximation |
scientific article; zbMATH DE number 1893615 |
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A Diophantine equation appearing in Diophantine approximation (English)
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5 June 2003
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All Diophantine equations \(ax^2+ by^2+ cz^2= 1+dxyz\) with \(a,b,c,d\in \mathbb{N}\) and \(a\mid d\), \(b\mid d\), \(c\mid d\), with solutions \((x,y,z)\in \mathbb{N}^3\) are classified. Equations of this type occur in connection with the approximation spectrum for quaternions.
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cubic Diophantine equations
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approximation spectrum for quaternions
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