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Refinement of Vahlen's Theorem for Minkowski Bases of Three-Dimensional Lattices
Authors:M O Avdeeva  V A Bykovskii
Institution:(1) Khabarovsk State Pedagogical University, Russia;(2) Institute of Applied Mathematics Khabarovsk Section, Far East Division, Russian Academy of Sciences, Russia
Abstract:In the paper, the analog of Vahlen's theorem for Minkowski bases of three-dimensional lattices is sharpened.
Keywords:Vahlen's theorem  Minkowski basis  Voronoi basis  complete lattice  continued fraction  three-dimensional lattice
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