On the $\omega^2$ statistic distribution in the multidimensional case

The paper gives a method for computing eigenvalues of the integral operator with the kernel
$$ K(s,t)=\prod_{i=1}^m\min(s_i,t_i)-\prod_{i=1}^ms_it_i $$
which is used to find the $\omega^2$-distribution in the multidimensional case. Tables for the cumulative distribution function and percentage points are given for $m=3$.