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On the diaphony of one class of one-dimensional sequences. (English) Zbl 0841.11038

The author considers special sequences of the net type (\(LP_\tau\)-sequences of Sobol’) and obtains best possible upper bounds for the diaphony and for the \(L^2\)-discrepancy (in the case of symmetrized sequences) of order \(O(N^{-1} (\log N)^{1/2})\).
Reviewer: R.F.Tichy (Graz)

MSC:

11K06 General theory of distribution modulo \(1\)
11K31 Special sequences
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