On quaternions and their generalization and the history of the eight square theorem. (Q1465200)
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scientific article; zbMATH DE number 2605833
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On quaternions and their generalization and the history of the eight square theorem. |
scientific article; zbMATH DE number 2605833 |
Statements
On quaternions and their generalization and the history of the eight square theorem. (English)
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1919
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Die Gleichung \((x_1^2 + \cdots +x_n^2) (y_1^2+ \cdots +y_n^2)= (z_1^2 + \cdots + z_n^2)\) mit den \(z\) als Bilinearformen in den \(x\) und \(y\) gilt bekanntlich, wie Hurwitz gezeigt hat, nur für \(n = 2, 4\) und 8. Der Verf. gibt den Hurwitzchen Beweis etwas ausführlicher wieder und außerdem eine historische Übersicht über die Entwicklung des Problems.
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