|
This article is cited in 1 scientific paper (total in 1 paper)
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.
Received: 24.07.2016
Citation:
A. V. Shubin, “Asymptotic behavior of functions$\Omega(k; n)$ and $\omega(k; n)$ relatedto the number of prime divisors”, Diskr. Mat., 29:3 (2017), 133–143; Discrete Math. Appl., 29:2 (2019), 121–129
Linking options:
https://www.mathnet.ru/eng/dm1454https://doi.org/10.4213/dm1454 https://www.mathnet.ru/eng/dm/v29/i3/p133
|
Statistics & downloads: |
Abstract page: | 354 | Full-text PDF : | 56 | References: | 33 | First page: | 27 |
|