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@article{MZM_2006_79_2_a0, author = {M. O. Avdeeva and V. A. Bykovskii}, title = {Refinement of {Vahlen's} {Theorem} for {Minkowski} {Bases} of {Three-Dimensional} {Lattices}}, journal = {Matemati\v{c}eskie zametki}, pages = {163--168}, publisher = {mathdoc}, volume = {79}, number = {2}, year = {2006}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a0/} }
TY - JOUR AU - M. O. Avdeeva AU - V. A. Bykovskii TI - Refinement of Vahlen's Theorem for Minkowski Bases of Three-Dimensional Lattices JO - Matematičeskie zametki PY - 2006 SP - 163 EP - 168 VL - 79 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a0/ LA - ru ID - MZM_2006_79_2_a0 ER -
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