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Chebyshevskii Sbornik, 2013, Volume 14, Issue 3, Pages 42–48 (Mi cheb287)  
This article is cited in 2 scientific papers (total in 3 papers)

Squarefree numbers in the sequence $[\alpha n]$

D. V. Goryashin

M. V. Lomonosov Moscow State University
Full-text PDF (227 kB) Citations (3)
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Abstract: An asymptotic formula for the number of squarefree integers of the form $[\alpha n]$ is proved in the paper, where $\alpha$ is an algebraic number or a number with restricted partial quotients.
Keywords: squarefree numbers, Beatty sequence, asymptotic formula, exponential sums.
Received: 18.09.2013
Document Type: Article
UDC: 511
Language: Russian
Citation: D. V. Goryashin, “Squarefree numbers in the sequence $[\alpha n]$”, Chebyshevskii Sb., 14:3 (2013), 42–48
Citation in format AMSBIB
\Bibitem{Gor13}
\by D.~V.~Goryashin
\paper Squarefree numbers in the sequence $[\alpha n]$
\jour Chebyshevskii Sb.
\yr 2013
\vol 14
\issue 3
\pages 42--48
\mathnet{http://mi.mathnet.ru/cheb287}
Linking options:
  • https://www.mathnet.ru/eng/cheb287
  • https://www.mathnet.ru/eng/cheb/v14/i3/p42
    • This publication is cited in the following 3 articles:
    1. A. V. Begunts, D. V. Goryashin, “Aktualnye zadachi, svyazannye s posledovatelnostyami Bitti”, Chebyshevskii sb., 18:4 (2017), 97–106  mathnet  crossref
    2. V. G. Durnev, “Ochen sub'ektivnye vospominaniya-razmyshleniya”, Chebyshevskii sb., 15:4 (2014), 180–189  mathnet
    3. D. V. Goryashin, “Ob odnoi additivnoi zadache s beskvadratnymi chislami”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 13:4(2) (2013), 41–47  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:266
    Full-text PDF :110
    References:52
    First page:1
     
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