On the number of solutions of the Tarry-Escott problem of degree two and the related problem over some finite fields

摘要

The number of ideal solutions over Z(p) of the Tarry-Escott problem of degree two and the number of solutions over Z(p) of the related system of equations: Sigma(3)(i=1) a(i)(r) = Sigma(3)(i=1) b(i)(r) for r = 1, 2, 5 are completely determined.