An algorithmic implementation of Runge's method for cubic diophantine equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 2, pp. 137-147
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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:
Runge's method.
Mots-clés : diophantine equations
Mots-clés : diophantine equations
@article{JSFU_2018_11_2_a1,
author = {Nikolay N. Osipov and Bella V. Gulnova},
title = {An algorithmic implementation of {Runge's} method for cubic diophantine equations},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {137--147},
publisher = {mathdoc},
volume = {11},
number = {2},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_2_a1/}
}
TY - JOUR AU - Nikolay N. Osipov AU - Bella V. Gulnova TI - An algorithmic implementation of Runge's method for cubic diophantine equations JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2018 SP - 137 EP - 147 VL - 11 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2018_11_2_a1/ LA - en ID - JSFU_2018_11_2_a1 ER -
%0 Journal Article %A Nikolay N. Osipov %A Bella V. Gulnova %T An algorithmic implementation of Runge's method for cubic diophantine equations %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2018 %P 137-147 %V 11 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2018_11_2_a1/ %G en %F JSFU_2018_11_2_a1
Nikolay N. Osipov; Bella V. Gulnova. An algorithmic implementation of Runge's method for cubic diophantine equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 2, pp. 137-147. http://geodesic.mathdoc.fr/item/JSFU_2018_11_2_a1/