DLMF:27.6.E2 (Q8034)

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DLMF:27.6.E2
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    Statements

    Defining formula
    ∑ d | n μ ⁡ ( d ) ⁢ f ⁢ ( d ) = ∏ p | n ( 1 - f ⁢ ( p ) ) , subscript divides 𝑑 𝑛 Moebius-mu 𝑑 𝑓 𝑑 subscript product divides 𝑝 𝑛 1 𝑓 𝑝 {\displaystyle{\displaystyle\sum_{d\mathbin{|}n}\mu\left(d\right)f(d)=\prod_{p% \mathbin{|}n}(1-f(p)),}}
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    DLMF id
    DLMF:27.6.E2
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    constraint
    n > 1 𝑛 1 {\displaystyle{\displaystyle n>1}}
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    Symbols used
    Möbius function
    Defining formula
    μ ⁡ ( n ) Moebius-mu 𝑛 {\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}
    xml-id
    C27.S2.E12.m2adec
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    Q12241
    Defining formula
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C27.S1.XMD1.m1adec
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