On a ternary Diophantine problem with mixed powers of primes
On a ternary Diophantine problem with mixed powers of primes
Let $1 < k < 33 / 29$. We prove that if $\lambda_1$, $\lambda_2$ and $\lambda_3$ are non-zero real numbers, not all of the same sign and such that $\lambda_1 / \lambda_2$ is irrational, and $\varpi$ is any real number, then for any $\varepsilon > 0$ the i