On the Diophantine equations of the form ${\lambda }_1{U}_{n_1}+{\lambda }_2{U}_{n_2}+\dots +{\lambda }_k{U}_{n_k}=w{p}_1^{z_1}{p}_2^{z_2}\cdots p_s^{z_s}$

Eva Goedhart, Brian Ha, Lily McBeath +1

In this paper, we consider the Diophantine equation ${\lambda }_1{U}_{n_1}+\dots +{\lambda }_k{U}_{n_k}=w{p}_1^{z_1}\cdots p_s^{z_s},$ where $\{U_n{\}}_{n\ge 0}$ is a fixed non-degenerate linear recurrenc…