DLMF:27.7.E5

MaRDI QIDQ8738

• Label: DLMF:27.7.E5

Digital Library of Mathematical Functions ID 27.7.E5

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

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle\sigma_{\NVar{\alpha}}\left(\NVar{n}\right)}}$: sum of powers of divisors of $$n$$
• ${\displaystyle{\displaystyle n}}$: positive integer
• ${\displaystyle{\displaystyle x}}$: real number
 

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