Geodesic
Additive problems for integers with a given number of prime divisors
Matematičeskie zametki, Tome 63 (1998) no. 5, pp. 749-762.

Voir la notice de l'article provenant de la source Math-Net.Ru

The asymptotics of sums of the form $\sum_{\substack n$ (summation over $n$, $\omega(n)=k$) is studied, where $\omega(n)$ is the number of distinct prime divisors of $n$, and $\tau(n)$ is the number of all divisors. 
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M. B. Khripunova. Additive problems for integers with a given number of prime divisors. Matematičeskie zametki, Tome 63 (1998) no. 5, pp. 749-762. http://geodesic.mathdoc.fr/item/MZM_1998_63_5_a13/

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