DLMF:27.5.E4

MaRDI QIDQ8721

• Label: DLMF:27.5.E4

Digital Library of Mathematical Functions ID 27.5.E4

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

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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