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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1979 Volume 82, Pages 29–32 (Mi znsl2091)

This article is cited in 3 papers

Critical determinant of the region $|x|^p+|y|^p<1$ (Supplement to the paper “On the application of the electronic computer to the proof of a conjecture of Minkowski from the geometry of numbers,” Zap. Nauchn. Sem. Lomi, 71, 163–180, 1977)

A. V. Malyshev


Abstract: Supplement to the paper cited in the title. One presents the results of the calculations on an electronic computer, by the method developed in that paper, proving Minkowski's conjecture regarding the critical determinant of the region $|x|^p+|y|^p<1$ for all real numbers $p>2.035$ and for $1.01\leqslant p\leqslant1.99$.

UDC: 511.9


 English version:
Journal of Soviet Mathematics, 1982, 18:6, 862–865

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