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References to 'asymptotic estimate'
1. $\displaystyle \sum_{n \le x} y^{\Omega(n)}=O\left( \frac{x(\log x)^{y-1}}{2-y} \right)$ for $1 \le y<2$ by Wkbj79
2. analytic number theory by Wkbj79
3. Landau notation by Mathprof