DLMF:27.3.E7

MaRDI QIDQ8701

• Label: DLMF:27.3.E7

Digital Library of Mathematical Functions ID 27.3.E7

${\displaystyle{\displaystyle\sigma_{\alpha}\left(m\right)\sigma_{\alpha}\left(n\right)=\sum_{d\mathbin{|}\left(m,n\right)}d^{\alpha}\sigma_{\alpha}\left(\frac{mn}{d^{2}}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\sigma_{\NVar{\alpha}}\left(\NVar{n}\right)}}$: sum of powers of divisors of $$n$$
• ${\displaystyle{\displaystyle\left(\NVar{m},\NVar{n}\right)}}$:
• ${\displaystyle{\displaystyle d}}$: positive integer
• ${\displaystyle{\displaystyle m}}$: positive integer
• ${\displaystyle{\displaystyle n}}$: positive integer
 

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