Zapiski Nauchnykh Seminarov LOMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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}
Linking options:
  • 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
    Statistics & downloads:
    Abstract page:163
    Full-text PDF :55
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024