Journal of Siberian Federal University. Mathematics & Physics / An Algorithmic Implementation of Runge’s Method for Cubic Diophantine Equations

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (2)
Authors
Osipov, Nikolay N.; Gulnova, Bella V.
Contact information
Osipov, Nikolay N.: Institute of Space and Information Technology Siberian Federal University Kirenskogo, 26, Krasnoyarsk, 660074 Russia;; Gulnova, Bella V.: Institute of Space and Information Technology Siberian Federal University Kirenskogo, 26, Krasnoyarsk, 660074 Russia;
Keywords
diophantine equations; Runge’s method
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

Pages
137–147
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/70762