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

Alessandro Languasco, Valentina Settimi

We refine a result of W.P. Li and Wang on the values of the form ${\lambda }_1{p}_1+{\lambda }_2{p}_2^2+{\lambda }_3{p}_3^2+{\mu }_1{2}^{m_1}+...+{\mu }_s{2}^{m_s},$ where $p_1,p_2,p_3$ are prime numbers, $m_1,.…