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Matematicheskie Zametki, 1971, Volume 10, Issue 3, Pages 253–257 (Mi mzm9711)  

This article is cited in 10 scientific papers (total in 11 papers)

A counterexample to the Hasse principle for a system of two quadratic forms in five variables

V. A. Iskovskikh

Central Mathematical Economics Institute
Abstract: A system of two quadratic forms in five variables with integer coefficients is constructed, which is equal to zero in the field of real numbers and in all $p$-adic fields, but is not zero in the field of rationals.
Received: 01.07.1970
English version:
Mathematical Notes, 1971, Volume 10, Issue 3, Pages 575–577
DOI: https://doi.org/10.1007/BF01464715
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: V. A. Iskovskikh, “A counterexample to the Hasse principle for a system of two quadratic forms in five variables”, Mat. Zametki, 10:3 (1971), 253–257; Math. Notes, 10:3 (1971), 575–577
Citation in format AMSBIB
\Bibitem{Isk71}
\by V.~A.~Iskovskikh
\paper A counterexample to the Hasse principle for a system of two quadratic forms in five variables
\jour Mat. Zametki
\yr 1971
\vol 10
\issue 3
\pages 253--257
\mathnet{http://mi.mathnet.ru/mzm9711}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=286743}
\zmath{https://zbmath.org/?q=an:0221.10028}
\transl
\jour Math. Notes
\yr 1971
\vol 10
\issue 3
\pages 575--577
\crossref{https://doi.org/10.1007/BF01464715}
Linking options:
  • https://www.mathnet.ru/eng/mzm9711
  • https://www.mathnet.ru/eng/mzm/v10/i3/p253
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:341
    Full-text PDF :175
    References:4
    First page:1
     
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