DLMF:27.4.E11

MaRDI QIDQ8715

• Label: DLMF:27.4.E11

Digital Library of Mathematical Functions ID 27.4.E11

${\displaystyle{\displaystyle\sum_{n=1}^{\infty}\sigma_{\alpha}\left(n\right)n^{-s}=\zeta\left(s\right)\zeta\left(s-\alpha\right),}}$

Constraint(s)

${\displaystyle{\displaystyle\Re s>\max(1,1+\Re\alpha)}}$

Symbols List

• ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$: Riemann zeta function
• ${\displaystyle{\displaystyle\sigma_{\NVar{\alpha}}\left(\NVar{n}\right)}}$: sum of powers of divisors of $$n$$
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle n}}$: positive integer
 

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