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On the sum of two powered numbers - MaRDI portal

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On the sum of two powered numbers (Q6595592)

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scientific article; zbMATH DE number 7903821
Language Label Description Also known as
English
On the sum of two powered numbers
scientific article; zbMATH DE number 7903821

    Statements

    title
    On the sum of two powered numbers (English)
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    author
    Jörg Brüdern
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    Olivier Robert
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    publication date
    30 August 2024
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    review text
    The authors prove the following very nice result, for any nonnegative integer \(n\geq 4\), there exist two nonnegative integers \(m_1\) and \(m_2\) such that \(n=m_1+m_2\), where \(m_j(j=1,2)\) such that \(m_j\geq 2\) and the largest squarefree divisor of each of the numbers \(m_j\) does not exceed \(2\sqrt[4]{27}\sqrt{m_j}\).
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    zbMATH Keywords
    powered numbers
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    sumsets
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    Identifiers

    zbMATH DE Number
    7903821
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    DOI
    10.4064/AA230609-26-9
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