Lisa Kaltenbock

collaborators

3 papers

math.NT2019

On the asymptotic behaviour of the sine product $\prod_{r = 1}^{n} ∣2 sin (π r α) ∣$

Sigrid Grepstad, Lisa Kaltenböck, Mario Neumüller

In this paper we review recently established results on the asymptotic behaviour of the trigonometric product $P_{n} (α) = \prod_{r = 1}^{n} ∣2 sin π r α ∣$ as $n \to \infty$ . We focus on ir…

math.NT2019

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian

Roswitha Hofer, Lisa Kaltenböck

Niederreiter and Halton sequences are two prominent classes of multi-dimensional sequences which are widely used in practice for numerical integration methods because of their exce…

math.NT2018

On Bounded Remainder Sets and Strongly Non-Bounded Remainder Sets for Sequences $({a_{n} α})_{n \geq 1}$

Lisa Kaltenböck, Gerhard Larcher

We give some results on the existence of bounded remainder sets (BRS) for sequences of the form $({a_{n} α})_{n \geq 1}$ , where $(a_{n})_{n \geq 1}$ - in most cases - is a given sequenc…

On the asymptotic behaviour of the sine product ∏r=1n​∣2sin(πrα)∣

Pair Correlations of Niederreiter and Halton Sequences are not Poissonian

On Bounded Remainder Sets and Strongly Non-Bounded Remainder Sets for Sequences ({an​α})n≥1​

On the asymptotic behaviour of the sine product $\prod_{r = 1}^{n} ∣2 sin (π r α) ∣$

On Bounded Remainder Sets and Strongly Non-Bounded Remainder Sets for Sequences $({a_{n} α})_{n \geq 1}$