Irregularities of Distribution. VIII
Irregularities of Distribution. VIII
If ${x_1},{x_2} \ldots$ is a sequence in the unit interval $0 \leqslant x \leqslant 1$ and if $S$ is a subinterval, write $C(n,S)$ for the number of elements among ${x_1}, \ldots ,{x_n}$ which lie in $S$, minus $n$ times the length of $S$. For a well distributed sequence, $C(n,S)$ as …