Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2016, Volume 449, Pages 168–195 (Mi znsl6326)  
This article is cited in 15 scientific papers (total in 15 papers)

Karyon expansions of Pisot numbers in multidimensional continued fractions

V. G. Zhuravlev

Vladimir State University, Vladimir, Russia
Full-text PDF (296 kB) Citations (15)
References:
PDF
HTML
Abstract: Best simultaneously diophantine a pproximations are obtained for Pisot numbers. For this purpose the karyon approximation method is used. Littlewood–Pisot numbers are investigated in detail.
Key words and phrases: karyon toric expansions, best multi-dimensional approximations, Pisot numbers.
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 950–968
DOI: https://doi.org/10.1007/s10958-017-3507-0
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: V. G. Zhuravlev, “Karyon expansions of Pisot numbers in multidimensional continued fractions”, Analytical theory of numbers and theory of functions. Part 32, Zap. Nauchn. Sem. POMI, 449, POMI, St. Petersburg, 2016, 168–195; J. Math. Sci. (N. Y.), 225:6 (2017), 950–968
Citation in format AMSBIB
\Bibitem{Zhu16}
\by V.~G.~Zhuravlev
\paper Karyon expansions of Pisot numbers 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 168--195
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6326}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3580135}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 225
\issue 6
\pages 950--968
\crossref{https://doi.org/10.1007/s10958-017-3507-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85027335846}
Linking options:
  • https://www.mathnet.ru/eng/znsl6326
  • https://www.mathnet.ru/eng/znsl/v449/p168
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:173
    Full-text PDF :58
    References:34
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024