The defect of an admissible octahedron in a lattice

DOI10.1007/BF02305095zbMath0855.52005OpenAlexW2019833539MaRDI QIDQ1916658

Yanyan Li

Publication date: 16 February 1997

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02305095

zbMATH Keywords

latticedefecteuclidean \(n\)-spacemaximal number of vectors

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06)

Related Items (3)

Unnamed Item ⋮ Maximum defect of an admissible octahedron in a rational lattice ⋮ Defect of an octahedron in a rational lattice

Cites Work

• Unnamed Item
• Refinement of the lower bound for the index in the octahedron problem
• On sums of powers of linear forms. I
• Lattice Octahedra and Sums of Powers of Linear Forms
• An Introduction to the Geometry of Numbers
• SOME PROBLEMS IN THE THEORY OF DIOPHANTINE APPROXIMATION
• Le "Problème des Octaèdres" en dimension 5
• Lattice Octahedra
• A new upper bound to the minimum value of the sum of linear homogeneous forms

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