1 citations · 1 across the 3 of their papers we have counts for
3 papers
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 -dimensional…
math.NT2012
On the existence of hyperplane sequences, with quality parameter and discrepancy bounds
Friedrich Pillichshammer, Gottlieb Pirsic
It is well-known that digital -nets and $(\Tfett,s)$-sequences over a finite field have excellent properties when they are used as underlying nodes in quasi-Monte Carlo in…