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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 458, Pages 104–134 (Mi znsl6455)  
This article is cited in 9 scientific papers (total in 9 papers)

Local Pisot matricies and mutual approximations of algebraic numbers

V. G. Zhuravlev

Vladimir State University, Vladimir, Russia
Full-text PDF (294 kB) Citations (9)
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Abstract: A further development of the simplex-modular algorithm for decomposition of algebraic numbers into multidimensional continued fractions is proposed. With this aim we construct localized Pisot matrices . They have moduli of all eigenvalues less than 1 fall into the interval of small length. Such Pisot matrices generate continued fractions with the best approximations.
Key words and phrases: multidimensional continued fractions, the symplex-module algorithm, the best approximations.
Funding agency Grant number
Russian Science Foundation 14-11-00433
Received: 05.04.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 5, Pages 659–679
DOI: https://doi.org/10.1007/s10958-018-4035-2
Document Type: Article
UDC: 511
Language: Russian
Citation: V. G. Zhuravlev, “Local Pisot matricies and mutual approximations of algebraic numbers”, Analytical theory of numbers and theory of functions. Part 33, Zap. Nauchn. Sem. POMI, 458, POMI, St. Petersburg, 2017, 104–134; J. Math. Sci. (N. Y.), 234:5 (2018), 659–679
Citation in format AMSBIB
\Bibitem{Zhu17}
\by V.~G.~Zhuravlev
\paper Local Pisot matricies and mutual approximations of algebraic numbers
\inbook Analytical theory of numbers and theory of functions. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 458
\pages 104--134
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6455}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 5
\pages 659--679
\crossref{https://doi.org/10.1007/s10958-018-4035-2}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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