Refinement of Vahlen's Theorem for Minkowski Bases of Three-Dimensional Lattices
Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 163-168.

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In the paper, the analog of Vahlen's theorem for Minkowski bases of three-dimensional lattices is sharpened.
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M. O. Avdeeva; V. A. Bykovskii. Refinement of Vahlen's Theorem for Minkowski Bases of Three-Dimensional Lattices. Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 163-168. http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a0/

[1] Voronoi G. F., Sobranie sochinenii, T. 1, Kiev, 1952

[2] Khinchin A. Ya., Tsepnye drobi, M., 1978 | MR | Zbl

[3] Kassels Dzh. V., Vvedenie v geometriyu chisel, Mir, M., 1995 | MR

[4] Bykovskii V. A., “Teorema Valena dlya dvumernykh podkhodyaschikh drobei”, Matem. zametki, 66:1 (1999), 30–37 | MR | Zbl

[5] Avdeeva M. O., Bykovskii V. A., “Analog teoremy Valena dlya sovmestnykh priblizhenii pary chisel”, Matem. sb., 194:7 (2003), 4–14 | MR

[6] Minkowski H., “Généralisation de la théorie des fractions continues”, Ann. Sci. École Norm. Sup. (3), 13:2 (1896), 41–60 | MR

[7] Bykovskii V. A., Gorkusha O. A., “Minimalnye bazisy trekhmernykh reshetok”, Matem. sb., 192:2 (2001), 57–66 | MR | Zbl