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A unified simple proof of a conjecture of Woods for \(n\leq 6\)

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Publication:1017384
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DOI10.1016/j.jnt.2008.10.021zbMath1175.11034OpenAlexW2068478008MaRDI QIDQ1017384

Ranjeet Sehmi, R. J. Hans-Gill, Madhu Raka, Sucheta

Publication date: 19 May 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.10.021


zbMATH Keywords

latticespherereductionMinkowski's conjecturenon-homogeneouscritical determinantWoods' conjecture


Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Products of linear forms (11H46) Inhomogeneous linear forms (11J20)


Related Items

On conjectures of Minkowski and Woods for \(n = 9\) ⋮ Estimates on conjectures of Minkowski and Woods ⋮ Estimates on conjectures of Minkowski and Woods. II ⋮ Refined Estimates on Conjectures of Woods and Minkowski



Cites Work

  • On conjectures of Minkowski and Woods for \(n=7\)
  • Covering six space with spheres
  • On the product of four non-homogeneous linear forms
  • Über einen Approximationssatz von Minkowski
  • The densest double lattice packing of four‐spheres
  • Lattice coverings of five space by spheres
  • On Coverings of Four-Space by Spheres
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