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Chebyshevskii Sbornik, 2013, Volume 14, Issue 2, Pages 68–73 (Mi cheb270)  
This article is cited in 1 scientific paper (total in 1 paper)

Perfect squares of the form $[\alpha n]$

D. V. Goryashin

M. V. Lomonosov Moscow State University
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Abstract: An asymptotic formula is proved for the number of perfect squares in the sequence $[\alpha n]$ for algebraic numbers $\alpha$ and irrational numbers $\alpha$ with restricted partial quotients.
Keywords: perfect squares, Beatty sequence, asymptotic formula, exponential sums, Weyl sums.
Received: 24.06.2013
Document Type: Article
UDC: 511
Language: Russian
Citation: D. V. Goryashin, “Perfect squares of the form $[\alpha n]$”, Chebyshevskii Sb., 14:2 (2013), 68–73
Citation in format AMSBIB
\Bibitem{Gor13}
\by D.~V.~Goryashin
\paper Perfect squares of the form $[\alpha n]$
\jour Chebyshevskii Sb.
\yr 2013
\vol 14
\issue 2
\pages 68--73
\mathnet{http://mi.mathnet.ru/cheb270}
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  • https://www.mathnet.ru/eng/cheb/v14/i2/p68
    • This publication is cited in the following 1 articles:
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