Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Kuc23}
\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}
Linking options:
  • https://www.mathnet.ru/eng/mzm13718
  • https://doi.org/10.4213/mzm13718
  • https://www.mathnet.ru/eng/mzm/v113/i3/p392
    • This publication is cited in the following 1 articles:
    1. Mikhail R. Gabdullin, Vitalii V. Iudelevich, Florian Luca, “Numbers of the form k + f(k)”, Journal of Number Theory, 2024  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:236
    Full-text PDF :43
    Russian version HTML:157
    References:44
    First page:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025