Fork me on GitHub
Math for the people, by the people.

User login

$\displaystyle \sum_{n \le x} y^{\Omega(n)}=O\left( \frac{x(\log x)^{y-1}}{2-y} \right)$ for $1 \le y<2$

Major Section: 
Reference
Type of Math Object: 
Theorem

Mathematics Subject Classification

11N37 no label found

Comments

Would someone mind proofreading this and see if the range on y can be extended further than $1 \le y < 2$? (The maximum is $0 \le y <2$, which seems to be possible.) I would greatly appreciate it. Thanks.

Subscribe to Comments for "$\displaystyle \sum_{n \le x} y^{\Omega(n)}=O\left( \frac{x(\log x)^{y-1}}{2-y} \right)$ for $1 \le y&lt;2$"