sun3000 Posted August 31, 2020 Share Posted August 31, 2020 (edited) Prove: $$ \sigma _1 (n) = \sum_{d|n} \varphi(d) \sigma_0 \left( \frac{n}{d} \right)$$ Edited August 31, 2020 by sun3000 Link to comment Share on other sites More sharing options...
HallsofIvy Posted September 3, 2020 Share Posted September 3, 2020 (edited) It would help if you posted the definitions of "[math]\phi[/math]" and "[math]\sigma_0[/math]" Edited September 3, 2020 by HallsofIvy Link to comment Share on other sites More sharing options...
Sensei Posted September 3, 2020 Share Posted September 3, 2020 @HallsofIvy Looks like divisor function: https://en.wikipedia.org/wiki/Divisor_function Link to comment Share on other sites More sharing options...
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