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We proved that difference function $\psi_\Theta-\psi_{\Theta'}$ for almostall pairs $\Theta$, $\Theta'$ in cases $m=1$, $n=2$ or $m\geqslant2$ and $n=1$changes its sign infinity many times as $t\rightarrow+\infty$.

Oscillation of irrational measure function in the multidimensional case