Formula:8710

Digital Library of Mathematical Functions ID 27.4.E6

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

Constraint(s)

${\displaystyle{\displaystyle\Re s>2}}$

Symbols List

• ${\displaystyle{\displaystyle\phi\left(\NVar{n}\right)}}$: Euler’s totient
• ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$: Riemann zeta function
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle n}}$: positive integer
 

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