Currently displaying 1 – 4 of 4

Showing per page

Order by Relevance | Title | Year of publication

Discrepancy estimates for some linear generalized monomials

Roswitha HoferOlivier Ramaré — 2016

Acta Arithmetica

We consider sequences modulo one that are generated using a generalized polynomial over the real numbers. Such polynomials may also involve the integer part operation [·] additionally to addition and multiplication. A well studied example is the (nα) sequence defined by the monomial αx. Their most basic sister, ( [ n α ] β ) n 0 , is less investigated. So far only the uniform distribution modulo one of these sequences is resolved. Completely new, however, are the discrepancy results proved in this paper. We show...

Vandermonde nets

Roswitha HoferHarald Niederreiter — 2014

Acta Arithmetica

The second-named author recently suggested identifying the generating matrices of a digital (t,m,s)-net over the finite field q with an s × m matrix C over q m . More exactly, the entries of C are determined by interpreting the rows of the generating matrices as elements of q m . This paper introduces so-called Vandermonde nets, which correspond to Vandermonde-type matrices C, and discusses the quality parameter and the discrepancy of such nets. The methods that have been successfully used for the investigation...

Page 1

Download Results (CSV)