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Izvestiya: Mathematics, 2012, Volume 76, Issue 3, Pages 446–465
DOI: https://doi.org/10.1070/IM2012v076n03ABEH002591 (Mi im6283) 		 
This article is cited in 16 scientific papers (total in 16 papers)

The discrepancy of the Korobov lattice points

V. A. Bykovskii

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
English version PDF (313 kB) Citations (16)
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DOI: https://doi.org/10.1070/IM2012v076n03ABEH002591
Abstract: We obtain substantially improved bounds for the discrepancy of the Korobov lattice points from the uniform distribution.
Keywords: uniform distribution, Korobov lattice points, lattice, relative minimum.
Received: 07.12.2010
Revised: 03.03.2011
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2012, Volume 76, Issue 3, Pages 19–38
DOI: https://doi.org/10.4213/im6283
Bibliographic databases:
Document Type: Article
UDC: 519.644.7+511.9
MSC: Primary 41A55; Secondary 11K38
Language: English
Original paper language: Russian
Citation: V. A. Bykovskii, “The discrepancy of the Korobov lattice points”, Izv. RAN. Ser. Mat., 76:3 (2012), 19–38; Izv. Math., 76:3 (2012), 446–465
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2012v076n03ABEH002591
  • https://www.mathnet.ru/eng/im/v76/i3/p19
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:731
    Russian version PDF:178
    English version PDF:13
    References:74
    First page:30
     
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