DLMF:27.7.E5 (Q8045)

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Language	Label	Description	Also known as
English	DLMF:27.7.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{n=1}^{\infty}n^{\alpha}\frac{x^{n}}{1-x^{n}}% =\sum_{n=1}^{\infty}\sigma_{\alpha}\left(n\right)x^{n},}}

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DLMF:27.7.E5

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{\displaystyle{\displaystyle|x|<1}}

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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 n}}

C27.S1.XMD4.m1ddec

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