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DLMF:27.6.E3 - MaRDI portal

DLMF:27.6.E3 (Q8728)

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DLMF:27.6.E3
No description defined

    Statements

    DLMF defining formula
    ∑ d | n | μ ⁡ ( d ) | = 2 ν ⁡ ( n ) , subscript divides 𝑑 𝑛 Moebius-mu 𝑑 superscript 2 number-of-primes-dividing-nu 𝑛 {\displaystyle{\displaystyle\sum_{d\mathbin{|}n}|\mu\left(d\right)|=2^{\nu% \left(n\right)},}}
    0 references
    Symbols used
    Möbius function
    DLMF defining formula
    μ ⁡ ( n ) Moebius-mu 𝑛 {\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}
    xml-id
    C27.S2.E12.m2aadec
    0 references
    Q12236
    DLMF defining formula
    ν ⁡ ( n ) number-of-primes-dividing-nu 𝑛 {\displaystyle{\displaystyle\nu\left(\NVar{n}\right)}}
    xml-id
    C27.S2.SS1.p1.m6adec
    0 references
    positive integer
    DLMF defining formula
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C27.S1.XMD1.m1bdec
    0 references
    positive integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1bdec
    0 references

    Identifiers

     
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