The simplest 2-dimensional continued fraction

Journal of Mathematical Sciences

Volumn 82, Issue 5, 1996, Pages 3680-3685

  Korkina, E I ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007074241     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02362573     Document Type: Article

References (10)

1. F. Klein, "Sur une représentation géométrique du développement en fraction continue ordinaire," Nouv. Ann. Math., 15, No 3, 321-331 (1896).
2. H. Tsuchihashi, "Higher dimensional analogues of periodic continued fractions and cusp singularities," Tohoku Math. J., 35 (1983).
3. V. I. Arnold, "A-graded algebras and continued fractions," Commun. Pure Appl. Math., 142, 993-1000 (1989).
4. E. Korkina, "Classification of A-graded algebras with 3 generators," Indag. Math., 3, No 1, 27-40 (1992).
5. E. Korkina, G. Post, and M. Roclofs "Algèbres graduèes de type A" C.R. Acad. Sci., Sc̀r. L, 314, 653-655 (1992).
6. E. Korkina, G. Post, and M. Roelofs, "Classification of generalized A-graded algebras with 3 generators," Bull. Math. Fr. (in press)
7. P. Iglesias and G. Lachaud, "Espaces différentiables singuliers et corps de nomebre algébraiquess," Ann. Inst. Fourier, 40, 723-737 (1990).
8. 8 G. Lachaud "Le théorème de Lagrange pour les irrationels de degé quelconque," preprint, A. T. I., C. N. R. S., Luminy Case 930, 13288 Marseille Cedex 9 (1992).
9. G. Lachaud, "Polyèdre d'Arnold et voile d'un cône simplicial, analogues du théorème de Lagrange pour les irrationels de degréquelconque," preprint, Laboratoire de Mathématiques Discrètes du C.N.R.S., Luminy Case 930, 13288 Marseille Cedex 9 (1993).
10. A. D. Bruno and V. I. Parusnikov, "Klein's polyhedra for two Davenport's cubic forms," Mat. Zametki (in press).