Algebra i Analiz
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


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i Analiz, 2012, Volume 24, Issue 3, Pages 163–171 (Mi aa1287)  
This article is cited in 14 scientific papers (total in 14 papers)

Research Papers

On tight spherical designs

G. Nebe, B. Venkov

Lehrstuhl D für Mathematik, RWTH Aachen, Aachen, Germany
Full-text PDF (165 kB) Citations (14)
References:
PDF
HTML
Abstract: Let $X$ be a tight $t$-design of dimension $n$, and let $t=5$ or $t=7$ (the open cases). An investigation of the lattice generated by $X$ by using arithmetic theory of quadratic forms allows one to exclude infinitely many values of $n$.
Keywords: tight $t$-design, quadratic form.
Received: 01.11.2011
English version:
St. Petersburg Mathematical Journal, 2013, Volume 24, Issue 3, Pages 485–491
DOI: https://doi.org/10.1090/S1061-0022-2013-01249-0
Bibliographic databases:
Document Type: Article
Language: English
Citation: G. Nebe, B. Venkov, “On tight spherical designs”, Algebra i Analiz, 24:3 (2012), 163–171; St. Petersburg Math. J., 24:3 (2013), 485–491
Citation in format AMSBIB
\Bibitem{NebVen12}
\by G.~Nebe, B.~Venkov
\paper On tight spherical designs
\jour Algebra i Analiz
\yr 2012
\vol 24
\issue 3
\pages 163--171
\mathnet{http://mi.mathnet.ru/aa1287}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3014131}
\zmath{https://zbmath.org/?q=an:1271.05021}
\elib{https://elibrary.ru/item.asp?id=20730161}
\transl
\jour St. Petersburg Math. J.
\yr 2013
\vol 24
\issue 3
\pages 485--491
\crossref{https://doi.org/10.1090/S1061-0022-2013-01249-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000331548200006}
\elib{https://elibrary.ru/item.asp?id=20428021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84877669560}
Linking options:
  • https://www.mathnet.ru/eng/aa1287
  • https://www.mathnet.ru/eng/aa/v24/i3/p163
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024