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Currently displaying 1 – 4 of 4

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Random Mappings - V. F. Kolchin.

G. Turnwald — 1989

Metrika

Uniform distribution of recurrences in Dedekind domains

Robert Tichy; G. Turnwald — 1985

Acta Arithmetica

Distribution of the Ratios of the Terms of a Linear Recurrence.

R.F. Tichy; G. Turnwald; M. Goldstern — 1989

Monatshefte für Mathematik

On the discrepancy of sequences associated with the sum-of-digits function

Gerhard Larcher; N. Kopecek; R. F. Tichy; G. Turnwald — 1987

Annales de l'institut Fourier

If $w = (q_{k})_{k \in N}$ denotes the sequence of best approximation denominators to a real $α$ , and $s_{α} (n)$ denotes the sum of digits of $n$ in the digit representation of $n$ to base $w$ , then for all $x$ irrational, the sequence $(s_{α} (n) \cdot x)_{n \in N}$ is uniformly distributed modulo one. Discrepancy estimates for the discrepancy of this sequence are given, which turn out to be best possible if $α$ has bounded continued fraction coefficients.

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