17 citations · 73 across the 39 of their papers we have counts for
4 papers · 2 filters
Pair correlations and equidistribution
Christoph Aistleitner, Thomas Lachmann, Florian Pausinger
A deterministic sequence of real numbers in the unit interval is called \emph{equidistributed} if its empirical distribution converges to the uniform distribution. Furthermore, the…
On Weyl products and uniform distribution modulo one
Christoph Aistleitner, Gerhard Larcher, Friedrich Pillichshammer +2
In the present paper we study the asymptotic behavior of trigonometric products of the form for , where the numbers are…
Additive Energy and Irregularities of Distribution
Christoph Aistleitner, Gerhard Larcher
We consider strictly increasing sequences of integers and sequences of fractional parts where $α\in…
Additive Energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems
Christoph Aistleitner, Gerhard Larcher, Mark Lewko
For a sequence of integers we show that the distribution of the pair correlations of the fractional parts of is asymp…