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Comptes Rendus Mathématique
Volume 343, n° 1
pages 5-7 (juillet 2006)
Doi : 10.1016/j.crma.2006.04.023
Received : 20 January 2006 ;  accepted : 24 April 2006
Three examples of three-dimensional continued fractions in the sense of Klein
Trois exemples des fractions continues trois-dimensional en sens de Klein
 

Oleg Karpenkov 1
CEREMADE - UMR 7534, université Paris-Dauphine France, 75775 Paris cedex 16, France 

Abstract

The problem of the investigation of the simplest n -dimensional continued fraction in the sense of Klein for   was posed by V. Arnold. The answer for the case   can be found in the works of E. Korkina (1995) and G. Lachaud (1995). In present Note we study the case  . To cite this article: O. Karpenkov, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

The full text of this article is available in PDF format.
Résumé

Le problème de lʼétude les plus simple fractions continues n -dimensional en sens de Klein pour   a été poser de V. Arnold. Le solution pour la case de   a presenté dans les articles de E. Korkina (1995) et G. Lachaud (1995). Dans la Note présente, on étude la case de  . Pour citer cet article : O. Karpenkov, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

The full text of this article is available in PDF format.
1  Partially supported by RFBR grant SS-1972.2003.1 and by RFBR grant 05-01-01012a.


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