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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 82, Pages 29–32 (Mi znsl2091)  

This article is cited in 3 scientific papers (total 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
Full-text PDF (315 kB) Citations (3)
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 $1.01\leqslant p\leqslant1.99$.
English version:
Journal of Soviet Mathematics, 1982, Volume 18, Issue 6, Pages 862–865
DOI: https://doi.org/10.1007/BF01763960
Bibliographic databases:
UDC: 511.9
Language: Russian
Citation: 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)”, Studies in number theory. Part 5, Zap. Nauchn. Sem. LOMI, 82, "Nauka", Leningrad. Otdel., Leningrad, 1979, 29–32; J. Soviet Math., 18:6 (1982), 862–865
Citation in format AMSBIB
\Bibitem{Mal79}
\by A.~V.~Malyshev
\paper 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)
\inbook Studies in number theory. Part~5
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 82
\pages 29--32
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2091}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=537021}
\zmath{https://zbmath.org/?q=an:0481.10024|0427.10021}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 18
\issue 6
\pages 862--865
\crossref{https://doi.org/10.1007/BF01763960}
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  • https://www.mathnet.ru/eng/znsl2091
  • https://www.mathnet.ru/eng/znsl/v82/p29
    Addendum to
    This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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