On some cubic equations

A. V. Ustinov

M. V. Lomonosov Moscow State University

Abstract: 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
$$ x_1^3+x_2^3+x_3^3=y_1^3+y_2^3+y_3^3. $$


UDC: 511.51

Received: 01.12.1997

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