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 2013Show all

2 papers · 1 filter

math.NT2013★ 1 cited

Metrical lower bounds on the discrepancy of digital Kronecker-sequences

Gerhard Larcher, Friedrich Pillichshammer

Digital Kronecker-sequences are a non-archimedean analog of classical Kronecker-sequences whose construction is based on Laurent series over a finite field. In this paper it is sho…

math.NT2013

A metrical lower bound on the star discrepancy of digital sequences

Gerhard Larcher, Friedrich Pillichshammer

In this paper we study uniform distribution properties of digital sequences over a finite field of prime order. In 1998 it was shown by Larcher that for almost all $s$ -dimensional…