Geodesic
Minimal bases of three-dimensional complete lattices
Sbornik. Mathematics, Tome 192 (2001) no. 2, pp. 215-223 
V. A. Bykovskii; O. A. Gorkusha. Minimal bases of three-dimensional complete lattices. Sbornik. Mathematics, Tome 192 (2001) no. 2, pp. 215-223. http://geodesic.mathdoc.fr/item/SM_2001_192_2_a2/
@article{SM_2001_192_2_a2,
     author = {V. A. Bykovskii and O. A. Gorkusha},
     title = {Minimal bases of three-dimensional complete lattices},
     journal = {Sbornik. Mathematics},
     pages = {215--223},
     year = {2001},
     volume = {192},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2001_192_2_a2/}
}
TY  - JOUR
AU  - V. A. Bykovskii
AU  - O. A. Gorkusha
TI  - Minimal bases of three-dimensional complete lattices
JO  - Sbornik. Mathematics
PY  - 2001
SP  - 215
EP  - 223
VL  - 192
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_2001_192_2_a2/
LA  - en
ID  - SM_2001_192_2_a2
ER  - 
%0 Journal Article
%A V. A. Bykovskii
%A O. A. Gorkusha
%T Minimal bases of three-dimensional complete lattices
%J Sbornik. Mathematics
%D 2001
%P 215-223
%V 192
%N 2
%U http://geodesic.mathdoc.fr/item/SM_2001_192_2_a2/
%G en
%F SM_2001_192_2_a2

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

The Minkowski bases for three-dimensional lattices are studied.

[1] Voronoi G. F., Sobranie sochinenii, T. 1, Kiev, 1952, s. 197–391 | Zbl

[2] Minkowski H., “Zur Theorie der Kettenbruche”, Gesammelte Abhandlungen, Leipzig, 1911, 278–292

[3] Buchmann J., “On the Computation of units and class numbers by a generalization of Lagrange's algorithm”, Journal Number Theory, 26 (1987), 8–30 | DOI | MR | Zbl

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

[5] Gorkusha O. A., Privedenie bazisov trekhmernykh reshetok, Preprint IPM DVO RAN, Dalnauka, Vladivostok, 1998 | MR