Geodesic
Homoroot integer numbers
Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1 
M. H. Hooshmand. Homoroot integer numbers. Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a7/
@article{AMUC_2010_79_1_a7,
     author = {M. H. Hooshmand},
     title = {Homoroot integer numbers},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2010},
     volume = {79},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a7/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper we first define homorooty between two integer numbers and study some of their properties. There after we shall state some applications of the homorooty in studying and solving some Diophantine equations and systems, as an interesting and useful elementary method. Also by the homorooty, we state and prove the necessary and sufficient conditions for existence of finite solutions in a special case of the quartic equation and evaluate the bounds of its solutions.