On a system of two Diophantine inequalities with six prime variables

Linji Long, Jinjiang Li, Min Zhang +1

Suppose that $c,d,\hat{I}\pm ,{\hat{I}}^2$ are real numbers satisfying the inequalities $1<d<c<79/71$ and $1<\hat{I}\pm <{\hat{I}}^2<6^{1-d/c}$. In this paper, it is proved that, for sufficiently large real numbers $…