Refinement of Vahlen's Theorem for Minkowski Bases of Three-Dimensional Lattices
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Abstract
In the paper, the analog of Vahlen's theorem for Minkowski bases of three-dimensional lattices is sharpened.
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Translated from Matematicheskie Zametki, vol. 79, no. 2, 2006, pp. 163–168.
Original Russian Text Copyright © 2006 by M. O. Avdeeva, V. A. Bykovskii.
Related Content
- Title
- Refinement of Vahlen's Theorem for Minkowski Bases of Three-Dimensional Lattices
- Journal
-
Mathematical Notes
Volume 79, Issue 1-2 , pp 151-156 - Cover Date
- 2006-01-01
- DOI
- 10.1007/s11006-006-0018-6
- Print ISSN
- 0001-4346
- Online ISSN
- 1573-8876
- Publisher
- Kluwer Academic Publishers-Consultants Bureau
- Additional Links
- Topics
- Keywords
-
- Vahlen's theorem
- Minkowski basis
- Voronoi basis
- complete lattice
- continued fraction
- three-dimensional lattice
- Industry Sectors
- Authors
-
-
M. O. Avdeeva
(1)
(2)
-
V. A. Bykovskii
(2)
-
M. O. Avdeeva
- Author Affiliations