DLMF:27.14.E7 (Q8106): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: sum of powers of divisors of $$n$$ / rank
 
Normal rank
Property / Symbols used: sum of powers of divisors of $$n$$ / qualifier
 
Defining formula:

σ α ( n ) divisor-sigma 𝛼 𝑛 {\displaystyle{\displaystyle\sigma_{\NVar{\alpha}}\left(\NVar{n}\right)}}

\sumdivisors{\NVar{\alpha}}@{\NVar{n}}
Property / Symbols used: sum of powers of divisors of $$n$$ / qualifier
 
xml-id: C27.S2.E10.m2adec

Revision as of 14:30, 2 January 2020

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DLMF:27.14.E7
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    Statements

    n p ( n ) = k = 1 n σ 1 ( k ) p ( n - k ) , 𝑛 partition-function 𝑛 superscript subscript 𝑘 1 𝑛 divisor-sigma 1 𝑘 partition-function 𝑛 𝑘 {\displaystyle{\displaystyle np\left(n\right)=\sum_{k=1}^{n}\sigma_{1}\left(k% \right)p\left(n-k\right),}}
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    DLMF:27.14.E7
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    σ α ( n ) divisor-sigma 𝛼 𝑛 {\displaystyle{\displaystyle\sigma_{\NVar{\alpha}}\left(\NVar{n}\right)}}
    C27.S2.E10.m2adec
    0 references