Formula:8737

Digital Library of Mathematical Functions ID 27.7.E4

${\displaystyle{\displaystyle\sum_{n=1}^{\infty}\phi\left(n\right)\frac{x^{n}}{1-x^{n}}=\frac{x}{(1-x)^{2}},}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle\phi\left(\NVar{n}\right)}}$: Euler’s totient
• ${\displaystyle{\displaystyle n}}$: positive integer
• ${\displaystyle{\displaystyle x}}$: real number
 

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