Oscillation of irrational measure function in the multidimensional case

We proved that difference function ${\psi }_{\mathrm{\Theta }}-{\psi }_{{\mathrm{\Theta }}^{\mathrm{\prime }}}$ for almost all pairs $\mathrm{\Theta }$, ${\mathrm{\Theta }}^{\mathrm{\prime }}$ in cases $m=1$, $n=2$ or $m⩾2$ and $n=1$ changes its sign infinity many times as $t\to +\mathrm{\infty }$.