In this paper the author considers the entire, positive or negative, solutions of the equation , and establishes various formulas expressing the unknowns by means of two, three or four arbitrary parameters. The question has geometrical interest for the determination of the rational points of the cubic surface .
@article{RLINA_1975_8_59_6_635_0,
author = {Cataldo Agostinelli},
title = {Sulla risoluzione per numeri interi della equazione $x^{3} + y^{3} + z^{3} = u^{3}$},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
volume = {59},
year = {1975},
pages = {635-642},
zbl = {0356.10012},
mrnumber = {0480324},
language = {it},
url = {http://dml.mathdoc.fr/item/RLINA_1975_8_59_6_635_0}
}
Agostinelli, Cataldo. Sulla risoluzione per numeri interi della equazione $x^{3} + y^{3} + z^{3} = u^{3}$. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 59 (1975) pp. 635-642. http://gdmltest.u-ga.fr/item/RLINA_1975_8_59_6_635_0/
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