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 2017Show all

2 papers · 1 filter

math.NT2017★ 3 cited

Remark on a result of Bourgain on poissonian pair correlation

Gerhard Larcher

We show for a class of sequences $(a_{n})_{n \geq 1}$ of distinct positive integers, that for no $α$ the sequence $({a_{n} α})_{n \geq 1}$ does have Poissonian pair correla…

math.NT2017

On Quasi-Energy-Spectra, Pair Correlations of Sequences and Additive Combinatorics

Ida Aichinger, Christoph Aistleitner, Gerhard Larcher

The investigation of the pair correlation statistics of sequences was initially motivated by questions concerning quasi-energy-spectra of quantum systems. However, the subject has…