02195451

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02195451 Choudhry, Ajai A diophantine system related to the Tarry-Escott problem with no non-trivial solutions. Indian J. Pure Appl. Math. 35, No. 12, 1395-1398 (2004). 2004 Indian National Science Academy, New Delhi, Delhi, India / Springer India, New Delhi, Delhi, India EN Summary: It is shown that the system of simultaneous equations $$ \sum_{i=1}^{k+1} x_i^k = \sum_{i=1}^{k+1} y_i^k $$ for $r=1, 2, \dots, k$, $k+3$ has no non-trivial solutions when $k\ge 2$.