Construction of normal numbers with respect to the Q-Cantor series expansion for certain Q
Constructions of digital nets
Constructions of digital nets using global function fields
Constructions of smooth and analytic cocycles over irrational circle rotations
We define a class of step cocycles (which are coboundaries) for irrational rotations of the unit circle and give conditions for their approximation by smooth and real analytic coboundaries. The transfer functions of the approximating (smooth and real analytic) coboundaries are close (in the supremum norm) to the transfer functions of the original ones. This result makes it possible to construct smooth and real analytic cocycles which are ergodic, ergodic and squashable (see [Aaronson, Lemańczyk,...
Continued fractions, multidimensional diophantine approximations and applications
This paper is a brief review of some general Diophantine results, best approximations and their applications to the theory of uniform distribution.
Continued fractions with sequences of partial quotients over the field of Laurent series
Convergence in Möbius number systems.
Convergence of Continued Fraction Type Algorithms and Generators.
Coprimality of integers in Piatetski-Shapiro sequences
We use the estimation of the number of integers such that belongs to an arithmetic progression to study the coprimality of integers in , , .
Correction to my paper: “Uniformly distributed sequences mod 1 and Cantor's series representation”
Corrélation de suites arithmétiques
Corrigendum to: "Improvements on the star discrepancy of (t,s)-sequences" (Acta Arith. 154 (2012), 61-78)
This short note is intended to correct an inaccuracy in the proof of Theorem 3 in the paper mentioned in the title. The result of Theorem 3 remains true without any other change in the proof. Furthermore, a misprint is pointed out.
Corrigendum to the paper "Limit theorems for the Mellin transform of the square of the Riemann zeta-function. I" (Acta Arith. 122 (2006), 173-184)
Corrigendum to the paper "On the distribution of s-dimensional Kronecker sequences" Acta Arith. 51 (1988), 335-347
Corrigendum to Theorem 5 of the paper "Asymptotic density of A ⊂ ℕ and density of the ratio set R(A) (Acta Arith. 87 (1998), 67-78)
Counting rational points near planar curves
We find an asymptotic formula for the number of rational points near planar curves. More precisely, if f:ℝ → ℝ is a sufficiently smooth function defined on the interval [η,ξ], then the number of rational points with denominator no larger than Q that lie within a δ-neighborhood of the graph of f is shown to be asymptotically equivalent to (ξ-η)δQ².
Courants ergodiques et répartition géométrique.
Critères d'équirépartition modulo un
Criterion for uniform distribution of sequences and a class of Riemann integrable functions