Geodesic
Asymptotic behavior of functions$\Omega(k; n)$ and $\omega(k; n)$ relatedto the number of prime divisors
Diskretnaya Matematika, Tome 29 (2017) no. 3, pp. 133-143

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This article is related to the average estimates of numerical functions $\Omega(k; n)$ and $\omega(k; n)$ connected with the number of prime divisors of $n$ with limited multiplicity.
Keywords: functions of prime divisors, divisor multiplicity, fractional part, density theorem. 
@article{DM_2017_29_3_a9,
     author = {A. V. Shubin},
     title = {Asymptotic behavior of functions$\Omega(k; n)$ and $\omega(k; n)$ relatedto the number of prime divisors},
     journal = {Diskretnaya Matematika},
     pages = {133--143},
     publisher = {mathdoc},
     volume = {29},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2017_29_3_a9/}
}
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A. V. Shubin. Asymptotic behavior of functions$\Omega(k; n)$ and $\omega(k; n)$ relatedto the number of prime divisors. Diskretnaya Matematika, Tome 29 (2017) no. 3, pp. 133-143. http://geodesic.mathdoc.fr/item/DM_2017_29_3_a9/