Formula:8698

Digital Library of Mathematical Functions ID 27.3.E4

${\displaystyle{\displaystyle J_{k}\left(n\right)=n^{k}\prod_{p\mathbin{|}n}(1-p^{-k}),}}$

Symbols List

• ${\displaystyle{\displaystyle J_{\NVar{k}}\left(\NVar{n}\right)}}$: Jordan’s function
• ${\displaystyle{\displaystyle k}}$: positive integer
• ${\displaystyle{\displaystyle n}}$: positive integer
• ${\displaystyle{\displaystyle p,p_{1},\ldots}}$: prime numbers
 

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