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A proof of Minkowski's conjecture on the critical determinant of the region \(| x| ^ p+| y| ^ p<1\)

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Publication:1114747
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DOI10.1007/BF01727646zbMath0663.10033WikidataQ123147047 ScholiaQ123147047MaRDI QIDQ1114747

A. S. Golovanov, A. V. Malyshev, Nikolaj M. Glazunov

Publication date: 1988

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


zbMATH Keywords

Minkowski's conjecturecritical determinantcomputer methodstwo- dimensional region


Mathematics Subject Classification ID

Nonconvex bodies (11H16)


Related Items (1)

On a theorem of Davenport and Schmidt




Cites Work

  • Minkowski's conjectures on critical lattices in the metric \((|\xi|^p + |\eta|^p)^{1/p}\)
  • Minkowsky's conjecture on the critical determinant
  • 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)
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