Sibirskii Matematicheskii Zhurnal
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



Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find






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


Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 1, Pages 90–97 (Mi smj960)  

This article is cited in 23 scientific papers (total in 23 papers)

The Cayley–Menger determinant is irreducible for $n\geqslant3$

C. D'Andreaa, M. Sombrab

a University of California, Berkeley
b Universitat de Barcelona
References:
Abstract: We prove that the Cayley–Menger determinant of an $n$-dimensional simplex is an absolutely irreducible polynomial for $n\geqslant3$. We also study the irreducibility of the polynomials associated to the related geometric constructions.
Keywords: volume of a simplex, Cayley–Menger determinant, irreducible polynomial.
Received: 18.06.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 1, Pages 71–76
DOI: https://doi.org/10.1007/s11202-005-0007-0
Bibliographic databases:
UDC: 512.62, 514.172.45
Language: Russian
Citation: C. D'Andrea, M. Sombra, “The Cayley–Menger determinant is irreducible for $n\geqslant3$”, Sibirsk. Mat. Zh., 46:1 (2005), 90–97; Siberian Math. J., 46:1 (2005), 71–76
Citation in format AMSBIB
\Bibitem{DanSom05}
\by C.~D'Andrea, M.~Sombra
\paper The Cayley--Menger determinant is irreducible for $n\geqslant3$
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 1
\pages 90--97
\mathnet{http://mi.mathnet.ru/smj960}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2141304}
\zmath{https://zbmath.org/?q=an:1081.52007}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 1
\pages 71--76
\crossref{https://doi.org/10.1007/s11202-005-0007-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000227076100007}
Linking options:
  • https://www.mathnet.ru/eng/smj960
  • https://www.mathnet.ru/eng/smj/v46/i1/p90
  • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:643
    Full-text PDF :252
    References:60
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024