Maximum defect of an admissible octahedron in a rational lattice

DOI10.1070/RM9872zbMath1466.11044OpenAlexW2798905862MaRDI QIDQ5220240

M. A. Fadin, Andrei M. Raigorodskii

Publication date: 11 March 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9872

zbMATH Keywords

octahedronrational lattice

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items

Bounds on the defect of an octahedron in a rational lattice, Systems of representatives, Defect of an octahedron in a rational lattice

Cites Work

• Defect of an admissible octahedron in a centering of an integer lattice generated by a given number of vectors
• The defect of an admissible octahedron in a lattice
• Defect of an octahedron in a rational lattice
• The defects of admissible balls and octahedra in a lattice, and systems of generic representatives
• A probabilistic approach to the problem of the defects of admissible sets in a lattice
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