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Matematicheskie Zametki, 2004, Volume 76, Issue 2, Pages 163–171
DOI: https://doi.org/10.4213/mzm96 (Mi mzm96) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the Distribution Modulo 1 of Exponential Sequences

R. K. Akhunzhanov

M. V. Lomonosov Moscow State University
Full-text PDF (210 kB) Citations (7)
References:
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DOI: https://doi.org/10.4213/mzm96
Abstract: New quantitative results on the intersection of winning sets and the Hausdorff dimension of this intersection are obtained. An application to the problem on fractional parts of the sequence {2n3mα} is given.
Received: 18.09.2003
Revised: 29.12.2003
English version:
Mathematical Notes, 2004, Volume 76, Issue 2, Pages 153–160
DOI: https://doi.org/10.1023/B:MATN.0000036753.96493.67
Bibliographic databases:
UDC: 511.21
Language: Russian
Citation: R. K. Akhunzhanov, “On the Distribution Modulo 1 of Exponential Sequences”, Mat. Zametki, 76:2 (2004), 163–171; Math. Notes, 76:2 (2004), 153–160
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm/v76/i2/p163
    • This publication is cited in the following 7 articles:
    1. LOGAN CRONE, LIOR FISHMAN, STEPHEN JACKSON, “DETERMINACY OF SCHMIDT'S GAME AND OTHER INTERSECTION GAMES”, J. symb. log., 88:1 (2023), 1  crossref
    2. “Determinacy of Schmidt's Game and Other Intersection Games”, 2020  crossref
    3. Zhuravleva V., “Diophantine Approximations with Fibonacci Numbers”, J. Theor. Nr. Bordx., 25:2 (2013), 499–520  crossref  mathscinet  zmath  isi  scopus
    4. Bugeaud Ya., “On the Expansions of a Real Number to Several Integer Bases”, Rev. Mat. Iberoam., 28:4 (2012), 931–946  crossref  mathscinet  zmath  isi  elib  scopus
    5. N. G. Moshchevitin, “A note on badly approximable affine forms and winning sets”, Mosc. Math. J., 11:1 (2011), 129–137  mathnet  crossref  mathscinet
    6. N. G. Moshchevitin, “Khintchine's singular Diophantine systems and their applications”, Russian Math. Surveys, 65:3 (2010), 433–511  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    7. Broderick R., Bugeaud Ya., Fishman L., Kleinbock D., Weiss B., “SCHMIDT'S GAME, FRACTALS, AND NUMBERS NORMAL TO NO BASE”, Math Res Lett, 17:2 (2010), 307–321  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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