Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






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


Matematicheskie Zametki, 2010, Volume 87, Issue 4, Pages 483–491
DOI: https://doi.org/10.4213/mzm4886
(Mi mzm4886)
 

This article is cited in 2 scientific papers (total in 2 papers)

Upper and Lower Bounds for the Voronoi–Minkowski constant

M. O. Avdeeva, V. A. Bykovskii

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (466 kB) Citations (2)
References:
Abstract: We study the behavior of the constant $C(s)$ as $s\to\infty$ arising in the estimate of the number of relative minima of $s$-dimensional integer lattices $\Gamma$ via the logarithm $\log_2N$ raised to the $s-1$th power, where $N=D(\Gamma)$ is the determinant of $\Gamma$.
Keywords: Voronoi–Minkowski constant, integer lattice, Cauchy–Bunyakovskii inequality.
Received: 28.04.2008
English version:
Mathematical Notes, 2010, Volume 87, Issue 4, Pages 457–465
DOI: https://doi.org/10.1134/S0001434610030235
Bibliographic databases:
Document Type: Article
UDC: 511.36+511.37
Language: Russian
Citation: M. O. Avdeeva, V. A. Bykovskii, “Upper and Lower Bounds for the Voronoi–Minkowski constant”, Mat. Zametki, 87:4 (2010), 483–491; Math. Notes, 87:4 (2010), 457–465
Citation in format AMSBIB
\Bibitem{AvdByk10}
\by M.~O.~Avdeeva, V.~A.~Bykovskii
\paper Upper and Lower Bounds for the Voronoi--Minkowski constant
\jour Mat. Zametki
\yr 2010
\vol 87
\issue 4
\pages 483--491
\mathnet{http://mi.mathnet.ru/mzm4886}
\crossref{https://doi.org/10.4213/mzm4886}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2762736}
\zmath{https://zbmath.org/?q=an:05791074}
\transl
\jour Math. Notes
\yr 2010
\vol 87
\issue 4
\pages 457--465
\crossref{https://doi.org/10.1134/S0001434610030235}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000279034600023}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77954005008}
Linking options:
  • https://www.mathnet.ru/eng/mzm4886
  • https://doi.org/10.4213/mzm4886
  • https://www.mathnet.ru/eng/mzm/v87/i4/p483
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:646
    Full-text PDF :195
    References:70
    First page:29
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024