2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173946In [13], K. Roth showed that the expected value of the $L^2$ discrepancy of the cyclic shifts of the $N$ point van der Corput set is bounded by a constant multiple of $\sqrt{\log N}$, thus guaranteeing the existence of a shift with asymptotically minimal $L^2$ discrepancy, [11]. In the present paper, we construct a specific example of such a shift.12 pagesNumber TheoryFunctional Analysis11K38 (Primary), 42B05 (Secondary)text