Oscillation of irrational measure function in the multidimensional case

Abstract

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

17 pages, in Russian