A. V. Shubin, “Asymptotic behavior of functions$\Omega(k; n)$ and $\omega(k; n)$ relatedto the number of prime divisors”, Diskr. Mat., 2017, Volume 29, Issue 3,Pages 133

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Asymptotic behavior of functions$\Omega(k; n)$ and $\omega(k; n)$ relatedto the number of prime divisors

A. V. Shubin

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Abstract: 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.

UDC: 511.335

Received: 24.07.2016

DOI: 10.4213/dm1454