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DLMF:27.10.E6 - MaRDI portal

DLMF:27.10.E6 (Q8756)

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DLMF:27.10.E6
No description defined

    Statements

    DLMF defining formula
    s k ⁢ ( n ) = ∑ d | ( n , k ) f ⁢ ( d ) ⁢ g ⁢ ( k d ) subscript 𝑠 𝑘 𝑛 subscript divides 𝑑 𝑛 𝑘 𝑓 𝑑 𝑔 𝑘 𝑑 {\displaystyle{\displaystyle s_{k}(n)=\sum_{d\mathbin{|}\left(n,k\right)}f(d)g% \left(\frac{k}{d}\right)}}
    0 references
    Symbols used
    Q12096
    DLMF defining formula
    ( m , n ) 𝑚 𝑛 {\displaystyle{\displaystyle\left(\NVar{m},\NVar{n}\right)}}
    xml-id
    C27.S1.p2.t1.r3.m6aadec
    0 references
    positive integer
    DLMF defining formula
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C27.S1.XMD1.m1adec
    0 references
    positive integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C27.S1.XMD2.m1edec
    0 references
    positive integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1edec
    0 references
    function
    DLMF defining formula
    f ⁢ ( n ) 𝑓 𝑛 {\displaystyle{\displaystyle f(n)}}
    xml-id
    C27.S10.XMD1.m1cdec
    0 references
    periodic function
    DLMF defining formula
    g ⁢ ( m ) 𝑔 𝑚 {\displaystyle{\displaystyle g(m)}}
    xml-id
    C27.S10.XMD2.m1bdec
    0 references

    Identifiers

     
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