DLMF:27.4.E1

MaRDI QIDQ8705

• Label: DLMF:27.4.E1

Digital Library of Mathematical Functions ID 27.4.E1

${\displaystyle{\displaystyle\sum_{n=1}^{\infty}f(n)=\prod_{p}\left(1+\sum_{r=1}^{\infty}f(p^{r})\right),}}$

Symbols List

• ${\displaystyle{\displaystyle n}}$: positive integer
• ${\displaystyle{\displaystyle p,p_{1},\ldots}}$: prime numbers
• ${\displaystyle{\displaystyle f}}$: multiplicative function
 

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