G. Larcher

activity

20132025

most citedMetric results on the discrepancy of sequences

(a_{n} α)_{n \geq 1}

modulo one for integer sequences

(a_{n})_{n \geq 1}

of polynomial growth

6 citations · 28 across the 18 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.NT2018

On a multi-dimensional Poissonian pair correlation concept and uniform distribution

Aicke Hinrichs, Lisa Kaltenböck, Gerhard Larcher +2

The aim of the present article is to introduce a concept which allows to generalise the notion of Poissonian pair correlation, a second-order equidistribution property, to higher d…

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…

math.NT2018

Some negative results related to Poissonian pair correlation problems

Gerhard Larcher, Wolfgang Stockinger

We say that a sequence $(x_{n})_{n \in N}$ in $[0, 1)$ has Poissonian pair correlations if \begin{equation*} \lim_{N \to \infty} \frac{1}{N} \# \left \lbrace 1 \leq l \neq m…

math.NT2018★ 4 cited

Pair correlation of sequences $({a_{n} α})_{n \in N}$ with maximal order of additive energy

Gerhard Larcher, Wolfgang Stockinger

We show for sequences $(a_{n})_{n \in N}$ of distinct positive integers with maximal order of additive energy, that the sequence $\left(\left\{a_{n} α\right\}\r…

On a multi-dimensional Poissonian pair correlation concept and uniform distribution

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

Some negative results related to Poissonian pair correlation problems

Pair correlation of sequences ({an​α})n∈N​ with maximal order of additive energy

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

Pair correlation of sequences $({a_{n} α})_{n \in N}$ with maximal order of additive energy