The Diophantine equations $x_1^n+x_2^n+...+x_{r_1}^n=y_1^n+y_2^n+...+y_{r_2}^n$

Michael A. Ivanov

The aim of this paper is to prove the possibility of linearization of such equations by means of introduction of new variables. For $n=2$ such a procedure is well known, when new v…