DLMF:27.3.E6 (Q8007)

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Language	Label	Description	Also known as
English	DLMF:27.3.E6	No description defined

Statements

Defining formula

{\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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DLMF:27.3.E6

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

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sum of powers of divisors of $$n$$

Defining formula

{\displaystyle{\displaystyle\sigma_{\NVar{\alpha}}\left(\NVar{n}\right)}}

C27.S2.E10.m2adec

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Defining formula

{\displaystyle{\displaystyle\nu\left(\NVar{n}\right)}}

C27.S2.SS1.p1.m6abdec

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Defining formula

{\displaystyle{\displaystyle n}}

C27.S1.XMD4.m1edec

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Defining formula

{\displaystyle{\displaystyle p,p_{1},\ldots}}

C27.S1.XMD5.m1cdec

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Defining formula

{\displaystyle{\displaystyle a_{r}}}

C27.S2.XMD1.m1bdec

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Sitelinks

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