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

DOI10.1515/DMA-2019-0011zbMath1472.11262OpenAlexW2939839274MaRDI QIDQ2322393

A. V. Shubin

Publication date: 4 September 2019

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2019-0011

zbMATH Keywords

density theoremfractional partdivisor multiplicityfunctions of prime divisors

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (1)

On the ``tree structure of natural numbers

Cites Work

• The median largest prime factor
• Fractional parts of the function \(x/n\)
• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
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