The exceptional set for Diophantine inequality with mixed powers of primes

Yu Fu, Linzhu Fu, Liqun Hu

Assume that ${\lambda }_1,{\lambda }_2,{\lambda }_3,{\lambda }_4,{\lambda }_5,{\lambda }_6,{\lambda }_7$ are non-zero real numbers , ${\lambda }_1/{\lambda }_2$ is an irrational number. Let $\mathcal{V}$ be a well-spaced sequence, and $\delta >0$. For any given po…