On the value of a certain arithmetical determinant. (Q1555879)
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scientific article; zbMATH DE number 2713738
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the value of a certain arithmetical determinant. |
scientific article; zbMATH DE number 2713738 |
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On the value of a certain arithmetical determinant. (English)
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1875
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Bezeichnet \((m, n)\) den grössten gemeinschaftlichen Divisor der ganzen Zahlen \(m, n\), und \(\psi (m)\) die Anzahl der \(m\) nicht überschreitenden Zahlen, die relativ prim zu \(m\) sind, so ist die symmetrische Determinante \[ \varSigma \pm (1,1) \; (2,2) \ldots (m,m) = \psi (1). \psi (2) \ldots \psi (m). \]
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