ON A DIOPHANTINE EQUATION WITH THREE PRIME VARIABLES

摘要

Let [x] denote the integral part of the real number x, and N be a suciently large integer. In this paper, it is proved that, for 1 < c < 3113 2703 , the Diophantine equation N = [pc 1] + [pc 2] + [pc 3] is solvable in prime variables p1, p2, p3, which constitutes an improvement upon that of Cai.