Ž. Ž. Ž.
Ž..17 P4 41 T 1 NT N c 0, for sufficiently large N. The statistic NT assumes integer values only and the interval N, N contains 2N 1 integers. Hence, there exists an integer j N such that P NT j4 c N and 1 Ž. supP4T t c 1 N. t Ž. Ž.18 indies that an O NThe estimate 1 1. bound for the concentration function in Theorem is optimal.