Formula:8720

Digital Library of Mathematical Functions ID 27.5.E3

${\displaystyle{\displaystyle g(n)=\sum_{d\mathbin{|}n}f(d)\Longleftrightarrow f(n)=\sum_{d\mathbin{|}n}g(d)\mu\left(\frac{n}{d}\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}$: Möbius function
• ${\displaystyle{\displaystyle d}}$: positive integer
• ${\displaystyle{\displaystyle n}}$: positive integer
• ${\displaystyle{\displaystyle f}}$: function
• ${\displaystyle{\displaystyle g}}$: function
 

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