Teilfolgen gleichverteilter Folgen.
Test for submodel in Gibbs-Markov binary random sequence
The absolute continuity of a limit law for Sylvester series
The asymptotic behavior of the average -discrepancies and a randomized discrepancy.
The Borel Property for Simple Riesz Means.
The Bouniakowsky conjecture and the density of polynomial roots to prime moduli
The Cantor series of polyadic numbers
The complex sum of digits function and primes
Canonical number systems in the ring of gaussian integers are the natural generalization of ordinary -adic number systems to . It turns out, that each gaussian integer has a unique representation with respect to the powers of a certain base number . In this paper we investigate the sum of digits function of such number systems. First we prove a theorem on the sum of digits of numbers, that are not divisible by the -th power of a prime. Furthermore, we establish an Erdös-Kac type theorem...
The complexity of uniform distribution
The connections between continued fraction representations of units and certain Hecke groups.
The Continuity of the Limiting Distribution of a Function of Two Additive Functions.
The -dimensional Gauss transformation: Strong convergence and Lyapunov exponents.
The discrepancy of (n...)n ... 1.
The Dispersion of the Hammersley Sequence in the Unit Square.
The distribution of additive functions defined on short intervals
The distribution of divisors of N!
The distribution of Farey points, I
The distribution of f(d) (mod 1)
The distribution of inverses modulo a prime in short intervals
The distribution of real-valued Q-additive functions modulo 1