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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 440, Pages 81–98 (Mi znsl6215)  
This article is cited in 18 scientific papers (total in 18 papers)

Two-dimension approximations by the method of dividing toric tilings

V. G. Zhuravlev

Vladimir State University, Vladimir, Russia
Full-text PDF (222 kB) Citations (18)
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Abstract: An infinite sequence of dividing two-dimensional toric tilings is constructed via the differentiation method. The nucleus of these tilings has radius tending to zero and it contains a point having the best approximations on tori with respect to some norm metric which is defined by the initial karyon.
Key words and phrases: dividing toric tilings, the best approximations on tori.
Funding agency Grant number
Russian Science Foundation 14-11-00433
Received: 14.04.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 217, Issue 1, Pages 54–64
DOI: https://doi.org/10.1007/s10958-016-2955-2
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: V. G. Zhuravlev, “Two-dimension approximations by the method of dividing toric tilings”, Analytical theory of numbers and theory of functions. Part 30, Zap. Nauchn. Sem. POMI, 440, POMI, St. Petersburg, 2015, 81–98; J. Math. Sci. (N. Y.), 217:1 (2016), 54–64
Citation in format AMSBIB
\Bibitem{Zhu15}
\by V.~G.~Zhuravlev
\paper Two-dimension approximations by the method of dividing toric tilings
\inbook Analytical theory of numbers and theory of functions. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 440
\pages 81--98
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6215}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3504461}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 217
\issue 1
\pages 54--64
\crossref{https://doi.org/10.1007/s10958-016-2955-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84978116643}
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  • https://www.mathnet.ru/eng/znsl/v440/p81
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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