DLMF:27.3.E6 (Q8007): Difference between revisions

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Property / constraint
 

α 0 𝛼 0 {\displaystyle{\displaystyle\alpha\neq 0}}

\alpha\neq 0
Property / constraint: α 0 𝛼 0 {\displaystyle{\displaystyle\alpha\neq 0}} / rank
 
Normal rank

Revision as of 17:21, 30 December 2019

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DLMF:27.3.E6
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    Statements

    σ α ( n ) = r = 1 ν ( n ) p r α ( 1 + a r ) - 1 p r α - 1 , divisor-sigma 𝛼 𝑛 superscript subscript product 𝑟 1 number-of-primes-dividing-nu 𝑛 subscript superscript 𝑝 𝛼 1 subscript 𝑎 𝑟 𝑟 1 subscript superscript 𝑝 𝛼 𝑟 1 {\displaystyle{\displaystyle\sigma_{\alpha}\left(n\right)=\prod_{r=1}^{\nu% \left(n\right)}\frac{p^{\alpha(1+a_{r})}_{r}-1}{p^{\alpha}_{r}-1},}}
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    α 0 𝛼 0 {\displaystyle{\displaystyle\alpha\neq 0}}
    0 references