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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 16 scientific papers (total in 16 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 (16)
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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
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
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  • https://www.mathnet.ru/eng/im/v72/i1/p51
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:833
    Russian version PDF:318
    English version PDF:22
    References:69
    First page:25
     
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