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Zapiski Nauchnykh Seminarov LOMI, 1971, Volume 20, Pages 49–59 (Mi znsl2396)  
This article is cited in 2 scientific papers (total in 2 papers)

On Diophantine representations of the sequence of solutions of Pell's equation

N. K. Kossovski
Full-text PDF (430 kB) Citations (2)
Abstract: The paper deals with construction of sufficiently simple Diophantine representations of the sequence of Pell's equation solutions. Such a representation is transformed into a Diophantine representation of the predicate $x=y^z$. It is also proved that there exists a universal polynomial of some simple form.
Bibliographic databases:
Language: Russian
Citation: N. K. Kossovski, “On Diophantine representations of the sequence of solutions of Pell's equation”, Studies in constructive mathematics and mathematical logic. Part IV, Zap. Nauchn. Sem. LOMI, 20, "Nauka", Leningrad. Otdel., Leningrad, 1971, 49–59
Citation in format AMSBIB
\Bibitem{Kos71}
\by N.~K.~Kossovski
\paper On Diophantine representations of the sequence of solutions of Pell's equation
\inbook Studies in constructive mathematics and mathematical logic. Part~IV
\serial Zap. Nauchn. Sem. LOMI
\yr 1971
\vol 20
\pages 49--59
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2396}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=291132}
\zmath{https://zbmath.org/?q=an:0222.02052}
Linking options:
  • https://www.mathnet.ru/eng/znsl2396
  • https://www.mathnet.ru/eng/znsl/v20/p49
    • 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
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