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DLMF:27.6.E8 - MaRDI portal

DLMF:27.6.E8 (Q8733)

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DLMF:27.6.E8
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    Statements

    DLMF defining formula
    βˆ‘ d | n J k ⁑ ( d ) = n k . subscript divides 𝑑 𝑛 Jordan-J π‘˜ 𝑑 superscript 𝑛 π‘˜ {\displaystyle{\displaystyle\sum_{d\mathbin{|}n}J_{k}\left(d\right)=n^{k}.}}
    0 references
    Symbols used
    Jordan’s function
    DLMF defining formula
    J k ⁑ ( n ) Jordan-J π‘˜ 𝑛 {\displaystyle{\displaystyle J_{\NVar{k}}\left(\NVar{n}\right)}}
    xml-id
    C27.S2.E11.m2aadec
    0 references
    positive integer
    DLMF defining formula
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C27.S1.XMD1.m1gdec
    0 references
    positive integer
    DLMF defining formula
    k π‘˜ {\displaystyle{\displaystyle k}}
    xml-id
    C27.S1.XMD2.m1bdec
    0 references
    positive integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1gdec
    0 references

    Identifiers

     
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