Formula:8733

Digital Library of Mathematical Functions ID 27.6.E8

${\displaystyle{\displaystyle\sum_{d\mathbin{|}n}J_{k}\left(d\right)=n^{k}.}}$

Symbols List

• ${\displaystyle{\displaystyle J_{\NVar{k}}\left(\NVar{n}\right)}}$: Jordan’s function
• ${\displaystyle{\displaystyle d}}$: positive integer
• ${\displaystyle{\displaystyle k}}$: positive integer
• ${\displaystyle{\displaystyle n}}$: positive integer
 

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