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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 392, Pages 95–145 (Mi znsl4581)  
This article is cited in 38 scientific papers (total in 38 papers)

Exchanged toric developments and bounded remainder sets

V. G. Zhuravlev

Vladimir State Humanitarian University, Vladimir, Russia
Full-text PDF (460 kB) Citations (38)
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Abstract: Using exchanged toric developments we construct toric tilings into bounded remainder sets. For this two methods are applied. There are a stretch of the unit cubes and a general method of multiplication of the toric developments. A multi-dimensional analogue of the Hecke theorem on the distribution of fraction parts is proved.
Key words and phrases: the Hecke theorem, distribution of fraction parts, toric development.
Received: 01.06.2001
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 184, Issue 6, Pages 716–745
DOI: https://doi.org/10.1007/s10958-012-0894-0
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: V. G. Zhuravlev, “Exchanged toric developments and bounded remainder sets”, Analytical theory of numbers and theory of functions. Part 26, Zap. Nauchn. Sem. POMI, 392, POMI, St. Petersburg, 2011, 95–145; J. Math. Sci. (N. Y.), 184:6 (2012), 716–745
Citation in format AMSBIB
\Bibitem{Zhu11}
\by V.~G.~Zhuravlev
\paper Exchanged toric developments and bounded remainder sets
\inbook Analytical theory of numbers and theory of functions. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 392
\pages 95--145
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4581}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 184
\issue 6
\pages 716--745
\crossref{https://doi.org/10.1007/s10958-012-0894-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84864282652}
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    • This publication is cited in the following 38 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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