An Algorithmic Implementation of Runge’s Method for Cubic Diophantine Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2018Publisher:Siberian Federal UniversityJournal:Journal of Siberian Federal University. Mathematics & Physics, volume 11, pages 137-147 (issn: 1997-1397, eissn: 2313-6022,

Copyright policy )

Authors: Osipov, Nikolay N.; Gulnova, Bella V.;

doi: 10.17516/1997-1397-2018-11-2-137-147

An Algorithmic Implementation of Runge’s Method for Cubic Diophantine Equations

- Summary
- Subjects
- Metrics

Abstract

Summary: 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, диофантовы уравнения, Runge's method, cubic Diophantine equations, Cubic and quartic Diophantine equations, метод Рунге, Computer solution of Diophantine equations

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average