Point Sets with Uniformity Properties and Orthogonal Hypercubes.
Points sets with low discrepancy
Price and Haar type functions and uniform distribution of sequences.
Primitive Points on a Modular Hyperbola
For positive integers m, U and V, we obtain an asymptotic formula for the number of integer points (u,v) ∈ [1,U] × [1,V] which belong to the modular hyperbola uv ≡ 1 (mod m) and also have gcd(u,v) =1, which are also known as primitive points. Such points have a nice geometric interpretation as points on the modular hyperbola which are "visible" from the origin.
Principles of a new method in the study of irregularities of distribution.
Properties of Wiener-Wintner dynamical systems
In this paper we prove the following results. First, we show the existence of Wiener-Wintner dynamical system with continuous singular spectrum in the orthocomplement of their respective Kronecker factors. The second result states that if , large enough, is a Wiener-Wintner function then, for all , there exists a set of full measure for which the series converges uniformly with respect to .
Pythagoräische Tripel: Gleichverteilung und geometrische Anwendungen. II.