Paper detail

On a Diophantine problem with one prime, two squares of primes and $s$ powers of two

We refine a result of W.P. Li and Wang on the values of the form $ λ_1p_1 + λ_2p_2^{2} + λ_3p_3^{2} + μ_1 2^{m_1} +...+ μ_s 2^{m_s}, $ where $p_1,p_2,p_3$ are prime numbers, $m_1,..., m_s$ are positive integers, $λ_1,λ_2,λ_{3}$ are nonzero real numbers, not all of the same sign,$λ_2 / λ_3$ is irrational and $λ_i/μ_i \in \Q$, for $i\in\{1,2,3\}$.