20 citations · 52 across the 37 of their papers we have counts for
6 papers · 2 filters
Construction of normal numbers via generalized prime power sequences
Manfred G. Madritsch, Robert F. Tichy
In the present paper the authors construct normal numbers in base by concatenating -adic expansions of prime powers with and .
On permutations of lacunary series
Christoph Aistleitner, Istvan Berkes, Robert Tichy
It is a well known fact that for periodic measurable and rapidly increasing the sequence behaves like a sequence of independent, identic…
On the law of the iterated logarithm for permuted lacunary sequences
Christoph Aistleitner, Istvan Berkes, Robert Tichy
It is known that for any smooth periodic function the sequence behaves like a sequence of i.i.d.\ random variables, for example, it satisfies the central l…
On the system and probabilistic number theory
Christoph Aistleitner, Istvan Berkes, Robert Tichy
Let be a measurable function satisfying \begin{equation*} f(x+1)=f(x), \qquad \int_0^1 f(x)\, dx=0, \qquad \int_0^1 f^2(x)\, dx<\infty. \end{equatio…
On sums of S-integers of bounded norm
Christopher Frei, Robert F. Tichy, Volker Ziegler
We prove an asymptotic formula for the number of S-integers in a number field K that can be represented by a sum of n S-integers of bounded norm.
Ergodic properties of β-adic Halton sequences
Markus Hofer, Maria Rita Iacò, Robert Tichy
We investigate a parametric extension of the classical s-dimensional Halton sequence, where the bases are special Pisot numbers. In a one- dimensional setting the properties of suc…