DLMF:27.3.E2 (Q8003): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12243 / rank
 
Normal rank
Property / Symbols used: Q12243 / qualifier
 
Defining formula:

f ⁢ ( n ) 𝑓 𝑛 {\displaystyle{\displaystyle f(n)}}

f(n)
Property / Symbols used: Q12243 / qualifier
 
xml-id: C27.S3.XMD1.m1adec

Latest revision as of 14:15, 2 January 2020

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DLMF:27.3.E2
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 𝑓 subscript superscript 𝑝 subscript 𝑎 𝑟 𝑟 {\displaystyle{\displaystyle f(n)=\prod_{r=1}^{\nu\left(n\right)}f(p^{a_{r}}_{% r}).}}
    0 references
    DLMF id
    DLMF:27.3.E2
    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.m6adec
    0 references
    Q12234
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1adec
    0 references
    Q12235
    Defining formula
    p , p 1 , … 𝑝 subscript 𝑝 1 … {\displaystyle{\displaystyle p,p_{1},\ldots}}
    xml-id
    C27.S1.XMD5.m1dec
    0 references
    Q12244
    Defining formula
    a r subscript 𝑎 𝑟 {\displaystyle{\displaystyle a_{r}}}
    xml-id
    C27.S2.XMD1.m1dec
    0 references
    Q12243
    Defining formula
    f ⁢ ( n ) 𝑓 𝑛 {\displaystyle{\displaystyle f(n)}}
    xml-id
    C27.S3.XMD1.m1adec
    0 references
     
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