DLMF:27.3.E10 (Q8011)

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DLMF:27.3.E10
No description defined

    Statements

    Defining formula
    f ⁢ ( n ) = ∏ r = 1 ν ⁡ ( n ) ( f ⁢ ( p r ) ) a r . 𝑓 𝑛 superscript subscript product 𝑟 1 number-of-primes-dividing-nu 𝑛 superscript 𝑓 subscript 𝑝 𝑟 subscript 𝑎 𝑟 {\displaystyle{\displaystyle f(n)=\prod_{r=1}^{\nu\left(n\right)}\left(f(p_{r}% )\right)^{a_{r}}.}}
    0 references
    DLMF id
    DLMF:27.3.E10
    0 references
    Symbols used
    Q12233
    Defining formula
    ν ⁡ ( n ) number-of-primes-dividing-nu 𝑛 {\displaystyle{\displaystyle\nu\left(\NVar{n}\right)}}
    xml-id
    C27.S2.SS1.p1.m6acdec
    0 references
    Q12234
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1idec
    0 references
    Q12235
    Defining formula
    p , p 1 , … 𝑝 subscript 𝑝 1 … {\displaystyle{\displaystyle p,p_{1},\ldots}}
    xml-id
    C27.S1.XMD5.m1ddec
    0 references
    Q12244
    Defining formula
    a r subscript 𝑎 𝑟 {\displaystyle{\displaystyle a_{r}}}
    xml-id
    C27.S2.XMD1.m1cdec
    0 references
    Q12243
    Defining formula
    f ⁢ ( n ) 𝑓 𝑛 {\displaystyle{\displaystyle f(n)}}
    xml-id
    C27.S3.XMD1.m1cdec
    0 references
     
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