Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2008, Volume 72, Issue 1, Pages 47–61
DOI: https://doi.org/10.1070/IM2008v072n01ABEH002391 (Mi im1135) 		 
This article is cited in 15 scientific papers (total in 15 papers)

On a multidimensional generalization of Lagrange's theorem on continued fractions

O. N. Germana, E. L. Lakshtanovb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b University of Aveiro
English version PDF (288 kB) Citations (15)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2008v072n01ABEH002391
Abstract: We prove a multidimensional analogue of the classical Lagrange theorem on continued fractions using Klein polyhedra as a multidimensional generalization of continued fractions.
Received: 12.07.2006
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2008, Volume 72, Issue 1, Pages 51–66
DOI: https://doi.org/10.4213/im1135
Bibliographic databases:
UDC: 511.6+511.9
MSC: 11H06, 11H46, 11H50
Language: English
Original paper language: Russian
Citation: O. N. German, E. L. Lakshtanov, “On a multidimensional generalization of Lagrange's theorem on continued fractions”, Izv. RAN. Ser. Mat., 72:1 (2008), 51–66; Izv. Math., 72:1 (2008), 47–61
Citation in format AMSBIB
\Bibitem{GerLak08}
\by O.~N.~German, E.~L.~Lakshtanov
\paper On a multidimensional generalization of Lagrange's theorem on continued fractions
\jour Izv. RAN. Ser. Mat.
\yr 2008
\vol 72
\issue 1
\pages 51--66
\mathnet{http://mi.mathnet.ru/im1135}
\crossref{https://doi.org/10.4213/im1135}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2394971}
\zmath{https://zbmath.org/?q=an:1180.11022}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2008IzMat..72...47G}
\elib{https://elibrary.ru/item.asp?id=10336921}
\transl
\jour Izv. Math.
\yr 2008
\vol 72
\issue 1
\pages 47--61
\crossref{https://doi.org/10.1070/IM2008v072n01ABEH002391}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000254303700003}
\elib{https://elibrary.ru/item.asp?id=13571296}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-41549157704}
Linking options:
  • https://www.mathnet.ru/eng/im1135
  • https://doi.org/10.1070/IM2008v072n01ABEH002391
  • https://www.mathnet.ru/eng/im/v72/i1/p51
    • 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
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:857
    Russian version PDF:329
    English version PDF:26
    References:72
    First page:25
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024