  The Salem problem to verify whether Fourier-Stieltjes coefficients of the
Minkowski question mark function vanish at infinity is solved recently
affirmatively. In this paper by using methods of classical analysis and special
functions we solve a Salem-type problem about the behavior at infinity of a
linear combination of the Fourier-Stieltjes transforms. Moreover, as a
consequence of the Salem problem, some asymptotic relations at infinity for the
Fourier-Stieltjes coefficients of a power $m\in \mathbb{N}$ of the Minkowski
question mark function are derived.
