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On the distribution of \(r\)-tuples of \(k\)-free numbers - MaRDI portal

On the distribution of \(r\)-tuples of \(k\)-free numbers (Q2337578)

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On the distribution of \(r\)-tuples of \(k\)-free numbers
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    On the distribution of \(r\)-tuples of \(k\)-free numbers (English)
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    20 November 2019
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    Summary: For \(k\), being a fixed integer \(\geq2\), a positive integer \(n\) is called \(k\)-free number if \(n\) is not divisible by the \(k\)th power of any integer \(>1\). In this paper, we studied the distribution of \(r\)-tuples of \(k\)-free numbers and derived an asymptotic formula.
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