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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 2, Pages 137–147
DOI: https://doi.org/10.17516/1997-1397-2018-11-2-137-147 (Mi jsfu662) 		 
This article is cited in 3 scientific papers (total in 4 papers)

An algorithmic implementation of Runge's method for cubic diophantine equations

Nikolay N. Osipov, Bella V. Gulnova

Institute of Space and Information Technology, Siberian Federal University, Kirensky, 26, Krasnoyarsk, 660074, Russia
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DOI: https://doi.org/10.17516/1997-1397-2018-11-2-137-147
Abstract: In this paper we propose an algorithmic implementation of the elementary version of Runge's method for solving cubic diophantine equations with two unknowns. Moreover, we give the estimates for the solutions to such equations.
Keywords: diophantine equations, Runge's method.
Received: 18.10.2017
Received in revised form: 21.11.2017
Accepted: 18.01.2018
Bibliographic databases:
Document Type: Article
UDC: 511.52
Language: English
Citation: Nikolay N. Osipov, Bella V. Gulnova, “An algorithmic implementation of Runge's method for cubic diophantine equations”, J. Sib. Fed. Univ. Math. Phys., 11:2 (2018), 137–147
Citation in format AMSBIB
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\by Nikolay~N.~Osipov, Bella~V.~Gulnova
\paper An algorithmic implementation of Runge's method for cubic diophantine equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 2
\pages 137--147
\mathnet{http://mi.mathnet.ru/jsfu662}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-2-137-147}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000434678300002}
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    Erratum
    • Errata to our article
      Nikolay N. Osipov, Bella V. Gulnova
      J. Sib. Fed. Univ. Math. Phys., 2019, 12:1, 130
    This publication is cited in the following 4 articles:
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