Note on a number theoretical function. (Q1502587)
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scientific article; zbMATH DE number 2653182
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note on a number theoretical function. |
scientific article; zbMATH DE number 2653182 |
Statements
Note on a number theoretical function. (English)
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1904
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Verf. spricht einige leicht beweisbare Sätze über die zahlentheoretischen Funktionen \(P_2\) und \(P\) aus, welche für \(z - 2^mp_1^{m_1}\dots p_n^{m_n}\) durch die Gleichungen \[ \begin{aligned} P_2 &- \frac12\left\{\prod_{\nu-1}^n (2m_\nu + 1) - 1\right\},\\ P &- P_2 + \frac{m-1}{\left[1+\frac1m\right]}(2P_2 + 1)\end{aligned} \] definiert sind.
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arithmetic function
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