Formula:8727

Digital Library of Mathematical Functions ID 27.6.E2

${\displaystyle{\displaystyle\sum_{d\mathbin{|}n}\mu\left(d\right)f(d)=\prod_{p\mathbin{|}n}(1-f(p)),}}$

Constraint(s)

${\displaystyle{\displaystyle n>1}}$

Symbols List

• ${\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}$: Möbius function
• ${\displaystyle{\displaystyle d}}$: positive integer
• ${\displaystyle{\displaystyle n}}$: positive integer
• ${\displaystyle{\displaystyle p,p_{1},\ldots}}$: prime numbers
 

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