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Application of a computer to the proof of a conjecture of Minkowski in the geometry of numbers

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Publication:1168998
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DOI10.1007/BF01681478zbMath0494.10019WikidataQ123365140 ScholiaQ123365140MaRDI QIDQ1168998

A. V. Malyshev

Publication date: 1982

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)


zbMATH Keywords

computer-assisted proofMinkowski's conjecturecritical determinant


Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to number theory (11-04) Nonconvex bodies (11H16)


Related Items (1)

Packing, covering and tiling in two-dimensional spaces




Cites Work

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  • Minkowski's conjectures on critical lattices in the metric \((|\xi|^p + |\eta|^p)^{1/p}\)
  • An Introduction to the Geometry of Numbers
  • Lattice Points in the Region |Ax 4 +By 4 | ⩽ 1
  • Note on a Conjecture By Minkowski
  • Minkowski's Conjectures on the Critical Lattices of the Region |x | p +|y | p ⩽ 1 (I)
  • Minkowski's Conjectures on the Critical Lattices of the Region |x | p +|y | p ⩽1




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