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Fundamentalnaya i Prikladnaya Matematika, 2010, Volume 16, Issue 5, Pages 117–138 (Mi fpm1342)  
This article is cited in 2 scientific papers (total in 2 papers)

Density modulo 1 of lacunary and sublacunary sequences: application of Peres–Schlag's construction

N. G. Moshchevitin

M. V. Lomonosov Moscow State University
Full-text PDF (219 kB) Citations (2)
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Abstract: The paper is concerned with the existence of badly approximable numbers in problems involving lacunary or sublacunary sequences. The principal results depend upon Peres–Schlag's method.
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 180, Issue 5, Pages 610–625
DOI: https://doi.org/10.1007/s10958-012-0660-3
Bibliographic databases:
Document Type: Article
UDC: 511.4
Language: Russian
Citation: N. G. Moshchevitin, “Density modulo 1 of lacunary and sublacunary sequences: application of Peres–Schlag's construction”, Fundam. Prikl. Mat., 16:5 (2010), 117–138; J. Math. Sci., 180:5 (2012), 610–625
Citation in format AMSBIB
\Bibitem{Mos10}
\by N.~G.~Moshchevitin
\paper Density modulo~1 of lacunary and sublacunary sequences: application of Peres--Schlag's construction
\jour Fundam. Prikl. Mat.
\yr 2010
\vol 16
\issue 5
\pages 117--138
\mathnet{http://mi.mathnet.ru/fpm1342}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2804897}
\elib{https://elibrary.ru/item.asp?id=16349305}
\transl
\jour J. Math. Sci.
\yr 2012
\vol 180
\issue 5
\pages 610--625
\crossref{https://doi.org/10.1007/s10958-012-0660-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855840629}
Linking options:
  • https://www.mathnet.ru/eng/fpm1342
  • https://www.mathnet.ru/eng/fpm/v16/i5/p117
    • This publication is cited in the following 2 articles:
    1. Dmitriy Bilyk, Xiaomin Ma, Jill Pipher, Craig Spencer, “Diophantine approximations and directional discrepancy of rotated lattices”, Trans. Amer. Math. Soc., 368:6 (2015), 3871  crossref
    2. I. P. Rochev, “On distribution of fractional parts of linear forms”, J. Math. Sci., 182:4 (2012), 527–538  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    Full-text PDF :186
    References:58
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