Nikolay N. Osipov, Bella V. Gulnova, “An algorithmic implementation of Runge's method for cubic diophantine equations”, J. Sib. Fed. Univ. Math. Phys., 2018, Volume 11, Issue 2,Pages <nobr>137

This article is cited in 3 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

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.

UDC: 511.52

Received: 18.10.2017
Received in revised form: 21.11.2017
Accepted: 18.01.2018

Language: English

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