Geodesic
Critical determinant of the region $|x|^p+|y|^p1$ (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)
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 29-32

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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 $|x|^p+|y|^p1$ for all real numbers $p>2.035$ and for $1.01\leqslant p\leqslant1.99$. 
@article{ZNSL_1979_82_a1,
     author = {A. V. Malyshev},
     title = {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)},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {29--32},
     publisher = {mathdoc},
     volume = {82},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a1/}
}
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A. V. Malyshev. 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). Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 29-32. http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a1/