Geodesic
On the Three-Dimensional Vahlen Theorem
Matematičeskie zametki, Tome 95 (2014) no. 1, pp. 154-156.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: full-rank lattice, Vahlen's theorem, Minkowski basis, minimal system. 
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A. V. Ustinov. On the Three-Dimensional Vahlen Theorem. Matematičeskie zametki, Tome 95 (2014) no. 1, pp. 154-156. http://geodesic.mathdoc.fr/item/MZM_2014_95_1_a13/

[1] A. V. Ustinov, Matematika i informatika, 1, K 75-letiyu so dnya rozhdeniya Anatoliya Alekseevicha Karatsuby, Sovr. probl. matem., 16, MIAN, M., 2012, 103–128 | DOI

[2] G. F. Voronoi, Sobranie sochinenii, T. 1, Izd-vo AN USSR, Kiev, 1952 | MR | Zbl

[3] M. O. Avdeeva,V. A. Bykovskii, Matem. zametki, 79:2 (2006), 163–168 | DOI | MR | Zbl

[4] K. Th. Vahlen, J. für Math., 115:3 (1895), 221–233 | Zbl

[5] A. Ya. Khinchin, Tsepnye drobi, Nauka, M., 1978 | MR

[6] H. Minkowski, Ann. Sci. École Norm. Sup. (3), 13 (1896), 41–60 | MR | Zbl

[7] H. Hancock, Development of the Minkowski Geometry of Numbers, Vol. 1, 2, Dover Publ., 1964 | MR | Zbl

[8] O. A. Gorkusha, Matem. zametki, 69:3 (2001), 353–362 | DOI | MR | Zbl

[9] V. A. Bykovskii, O. A. Gorkusha, Matem. sb., 192:2 (2001), 57–66 | DOI | MR | Zbl

[10] M. O. Avdeeva, V. A. Bykovskii, Matem. sb., 194:7 (2003), 3–14 | DOI | MR | Zbl

[11] V. A. Bykovskii, Matem. zametki, 66:1 (1999), 30–37 | DOI | MR | Zbl

[12] S. Gassan, Chebyshevskii sb., 6:3 (2005), 51–84 | Zbl