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Matematicheskie Zametki, 2023, Volume 113, Issue 3, Pages 392–404
DOI: https://doi.org/10.4213/mzm13718 (Mi mzm13718) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Numbers Not Representable as $n+w(n)$

P. A. Kucheryavyi

Faculty of Mathematics, National Research University Higher School of Economics, Moscow
Full-text PDF (460 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm13718
Abstract: Let $w(n)$ be an additive nonnegative integer-valued arithmetic function equal to $1$ on primes. We study the distribution of $n+w(n)$ modulo a prime $p$ and give a lower bound for the density of numbers not representable as $n+w(n)$.
Keywords: number of prime divisors, Perron's formula, additive function.
Funding agency Grant number
HSE Basic Research Program
This study was supported by the HSE Program for Fundamental Research.
Received: 08.09.2022
Revised: 05.10.2022
English version:
Mathematical Notes, 2023, Volume 113, Issue 3, Pages 384–395
DOI: https://doi.org/10.1134/S0001434623030070
Bibliographic databases:
Document Type: Article
UDC: 511
PACS: 02.10.De
MSC: 11M99
Language: Russian
Citation: P. A. Kucheryavyi, “On Numbers Not Representable as $n+w(n)$”, Mat. Zametki, 113:3 (2023), 392–404; Math. Notes, 113:3 (2023), 384–395
Citation in format AMSBIB
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\by P.~A.~Kucheryavyi
\paper On Numbers Not Representable as $n+w(n)$
\jour Mat. Zametki
\yr 2023
\vol 113
\issue 3
\pages 392--404
\mathnet{http://mi.mathnet.ru/mzm13718}
\crossref{https://doi.org/10.4213/mzm13718}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4582560}
\transl
\jour Math. Notes
\yr 2023
\vol 113
\issue 3
\pages 384--395
\crossref{https://doi.org/10.1134/S0001434623030070}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85160396343}
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    • This publication is cited in the following 1 articles:
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    		Математические заметки Mathematical Notes
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