Formula:8730

Digital Library of Mathematical Functions ID 27.6.E5

${\displaystyle{\displaystyle\sum_{d\mathbin{|}n}\frac{|\mu\left(d\right)|}{\phi\left(d\right)}=\frac{n}{\phi\left(n\right)},}}$

Symbols List

• ${\displaystyle{\displaystyle\phi\left(\NVar{n}\right)}}$: Euler’s totient
• ${\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}$: Möbius function
• ${\displaystyle{\displaystyle d}}$: positive integer
• ${\displaystyle{\displaystyle n}}$: positive integer
 

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