Tagged Questions
0
votes
0answers
59 views
Arithmetic Functions and $\mu$ totient function
If I have a random of $n$ pairs $\{(\alpha_j,d_j);\alpha_j\in \mathbb{C}, d_j\in\mathbb{N}^{\star}\}$ for $m>1$
And considering
$Sm=\sum\limits_{d_j\equiv 0 \mod{m}}\alpha_j$ and ...
5
votes
2answers
156 views
Sum of $n \sigma(n)$
What is known about the asymptotic behavior of
$$
-\frac{\pi^2}{18}x^3+\sum_{n\le x}n\sigma(n) ?
$$
It seems to be $O(x^{2+\varepsilon})$ but I cannot prove this.
