Abstract
A computer-assisted proof is given of Minkowski's conjecture on the critical determinant of the region ∣x∣p+∣y∣p<1 in the cases 1.03≤p≤ 1.9745, p≤2.40, p≥2.577.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 71, pp. 163–180, 1977.
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Malyshev, A.V. Application of a computer to the proof of a conjecture of Minkowski in the geometry of numbers. J Math Sci 20, 2620–2635 (1982). https://doi.org/10.1007/BF01681478
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DOI: https://doi.org/10.1007/BF01681478