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 2014 · math.NTShow all

3 papers · 2 filters

math.NT2014

Discrepancy estimates for index-transformed uniformly distributed sequences

Peter Kritzer, Gerhard Larcher, Friedrich Pillichshammer

In this paper we show discrepancy bounds for index-transformed uniformly distributed sequences. From a general result we deduce very tight lower and upper bounds on the discrepancy…

math.NT2014

Discrepancy estimates for sequences: new results and open problems

Gerhard Larcher

In this paper we give an overview of recent results on (upper and lower) discrepancy estimates for (concrete) sequences in the unit-cube. In particular we also give an overview of…

math.NT2014★ 1 cited

On the star discrepancy of sequences in the unit interval

Gerhard Larcher

It is known that there is a constant $c > 0$ such that for every sequence $x_{1}, x_{2}, \dots$ in $[0, 1)$ we have for the star discrepancy $D_{N}^{*}$ of the first $N$ elements of the se…