Some identities for Chebyshev polynomials.
Maldistribution in higher dimensions.
Counting optimal joint digit expansions.
Erdös-Turán Type Discrepancy Bounds.
Completely q-multiplicative functions: the Mellin transform approach
Block distribution in random strings
For almost all infinite binary sequences of Bernoulli trials the frequency of blocks of length in the first terms tends asymptotically to the probability of the blocks, if increases like (for ) where tends to . This generalizes a result due to P. Flajolet, P. Kirschenhofer and R.F. Tichy concerning the case .
Metric results on a new notion of discrepancy
...-Expansions, Linear Recurrences, and the Sum-of-Digits Function.
Harmonic properties of the sum-of-digits function for complex bases
Remarks on statistical independence of sequences
Metric properties of Engel series expansions of Laurent series
Odometers and systems of numeration
Block additive functions on the Gaussian integers
-discrepancy and statistical independence of sequences
We characterize statistical independence of sequences by the -discrepancy and the Wiener -discrepancy. Furthermore, we find asymptotic information on the distribution of the -discrepancy of sequences.
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