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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) Russian version article
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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
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. Math., 72:1 (2008), 47–61
Citation in format AMSBIB
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\yr 2008
\vol 72
\issue 1
\pages 47--61
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  • 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:879
    Russian version PDF:333
    English version PDF:27
    References:74
    First page:25
     
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