Yi-Jun Xiao

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In this paper, we estimate the star-diaphony and the diaphony of the Roth sequence and the Zaremba sequence using their L 2-discrepancy formula given by Halton and Zaremba (see 3]), and White (see 17]). The optimal estimates and the exact asymptotic behaviours of the star-diaphony and the diaphony of both sequences are given. Moreover, the exact asymptotic(More)
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