In this paper, we apply the Weyl's limit relation to calculate the limit ,?where γq (n) is the van der Corput sequence in base q, g (x, y, z),?is the asymptotic distribution function of (γq (n), γq (n +1), γq ...In this paper, we apply the Weyl's limit relation to calculate the limit ,?where γq (n) is the van der Corput sequence in base q, g (x, y, z),?is the asymptotic distribution function of (γq (n), γq (n +1), γq (n + 2)), and F (x, y, z) = max (x, y, z), min (x, y, z),?and xyz, respectively.展开更多
基金sponsored by the project P201/12/2351 of GA Czech Republic.
文摘In this paper, we apply the Weyl's limit relation to calculate the limit ,?where γq (n) is the van der Corput sequence in base q, g (x, y, z),?is the asymptotic distribution function of (γq (n), γq (n +1), γq (n + 2)), and F (x, y, z) = max (x, y, z), min (x, y, z),?and xyz, respectively.