Asymptotics in addition of pseudo-random sequences
The paper deals with necessary and sufficient conditions under which the sums \(\text{ mod }p\) of integer random vectors are asymptotically uniform on a \(k\)-dimensional cube grid of the size \(p\). In the second part of the paper a condition is given for the uniformity of sums \(\text{ mod }1\) of continuous random variables. The condition is that the variables possess a distribution with probability density. The paper contains many misprints and inconsistencies. It is difficult to read and to verify.
scientific article; zbMATH DE number 1063704
scientific article