Od funkcí periodických ke skoroperiodickým
Odometers and systems of numeration
On a class of arithmetical sets
On a class of uniformly distributed sequences
On a class of weakly almost periodic mappings.
On a conjecture of Dekking : The sum of digits of even numbers
Let and denote by the sum-of-digits function in base . For considerIn 1983, F. M. Dekking conjectured that this quantity is greater than and, respectively, less than for infinitely many , thereby claiming an absence of a drift (or Newman) phenomenon. In this paper we prove his conjecture.
On a conjecture of Narkiewicz about functions with non-decreasing normal order
On a distribution problem in finite sets
On a form of the Erdős-Turán inequality
On a Gauss-Kuzmin type problem for piecewise fractional linear maps with explicit invariant measure.
On a metrical theorem of W. Schmidt
On a problem of Alfréd Rényi
On a Problem of Erdös in the Theory of Irregularities of Distribution.
On a problem of K. F. Roth concerning irregularities of point distribution.
On a problem of Narkiewicz concerning uniform distributions of sequences of integers
On a problem of R. C. Baker
On a problem of Sidon for polynomials over finite fields
Let ω be a sequence of positive integers. Given a positive integer n, we define rₙ(ω) = |(a,b) ∈ ℕ × ℕ : a,b ∈ ω, a+b = n, 0 < a < b|. S. Sidon conjectured that there exists a sequence ω such that rₙ(ω) > 0 for all n sufficiently large and, for all ϵ > 0, . P. Erdős proved this conjecture by showing the existence of a sequence ω of positive integers such that log n ≪ rₙ(ω) ≪ log n. In this paper, we prove an analogue of this conjecture in , where is a finite field of q elements....
On a problem of Tamas Varga
On a problem of W. M. Schmidt concerning one-sided ireegularities of point distrubitions.
On a sequence of (j, ε)-normal approximations to π/4 and the Brouwer conjecture