FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 1, PAGES 263-271

On some cubic equations

A. V. Ustinov

Abstract

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The paper considers the structure of solutions of the system
$$
\begin{cases}
x_1 + x_2 + x_3 = y_1 + y_2 + y_3\\ x_1^3 + x_2^3 + x_3^3 = y_1^3 + y_2^3 + y_3^3
\end{cases}
$$
 and the equation
$$
x_1^3 + x_2^3 + x_3^3 = y_1^3 + y_2^3 + y_3^3.
$$

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Last modified: July 8, 2002