DLMF:27.5.E8

MaRDI QIDQ8725

• Label: DLMF:27.5.E8

Digital Library of Mathematical Functions ID 27.5.E8

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

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
 

Resources that cite this formula

No records found.