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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 449, Pages 84–129 (Mi znsl6324)  
This article is cited in 4 scientific papers (total in 4 papers)

Periodic karyon expansions of algebraic units in multidimensional continued fractions

V. G. Zhuravlev

Vladimir State University, Vladimir, Russia
Full-text PDF (381 kB) Citations (4)
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Abstract: Periodic expansions of algebraic numbers in multidimensional continued fractions are obtained by using multidimensional backward maps and the differentiation method of induced toric tilings.
Key words and phrases: induced toric tilings, best multidimensional approximations, Lagrange theorem.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00360
Received: 01.08.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 225, Issue 6, Pages 893–923
DOI: https://doi.org/10.1007/s10958-017-3505-2
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: V. G. Zhuravlev, “Periodic karyon expansions of algebraic units in multidimensional continued fractions”, Analytical theory of numbers and theory of functions. Part 32, Zap. Nauchn. Sem. POMI, 449, POMI, St. Petersburg, 2016, 84–129; J. Math. Sci. (N. Y.), 225:6 (2017), 893–923
Citation in format AMSBIB
\Bibitem{Zhu16}
\by V.~G.~Zhuravlev
\paper Periodic karyon expansions of algebraic units in multidimensional continued fractions
\inbook Analytical theory of numbers and theory of functions. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 449
\pages 84--129
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6324}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3580133}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 225
\issue 6
\pages 893--923
\crossref{https://doi.org/10.1007/s10958-017-3505-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85027379421}
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  • https://www.mathnet.ru/eng/znsl/v449/p84
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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