Deriving number theoretical relations by means of higher dimensional systems of lattice points. (Q1527118)
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scientific article; zbMATH DE number 2681002
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Deriving number theoretical relations by means of higher dimensional systems of lattice points. |
scientific article; zbMATH DE number 2681002 |
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Deriving number theoretical relations by means of higher dimensional systems of lattice points. (English)
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1894
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Die Anzahl \(\varphi_k^{(m_1,\dots,m_k)}(n)\) derjenigen Systeme \[ a_1,\;\dots,\;a_k\qquad\left(a_h = 1,\dots,\frac m{m_h}\right), \] deren grösster gemeinsamer Teiler zu \(n\) teilerfremd ist, wird für ein beliebiges \(k\) mit Hülfe der entsprechenden Function für \(k=1\) dargestellt.
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distribution of systems \(a_1
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\dots
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a_k\) with \(\text{gcd}(a_i)\) prime to a given number \(n\)
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lattice point
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