5 citations · 15 across the 17 of their papers we have counts for
18 papers
Hankel Matrix Decompositions and Digital Sequences over Function Fields
Roswitha Hofer
This paper studies formal Laurent series, with particular emphasis on their continued-fraction and Laurent-series expansions. Knowledge of both expansions is important, for example…
Disproving the quasi-uniformity of the Halton sequences and of some Halton-type sequences
Takashi Goda, Roswitha Hofer, Kosuke Suzuki
In this short article, we prove that the Halton sequence, one of the most well-known low-discrepancy sequences, is not quasi-uniform in any dimension with any pairwise re…
Variants of the Littlewood conjecture, their connection to uniformly distributed sequences, and the exact order of the discrepancy of van der Corput--Kronecker-type sequences
Roswitha Hofer
The aims of this paper are twofold. First, it discusses the Littlewood conjecture and its variants with respect to uniformly distributed sequences. The second aim is to determine t…
Discrepancy bounds for normal numbers generated by necklaces in arbitrary base
Roswitha Hofer, Gerhard Larcher
Mordechay B. Levin has constructed a number which is normal in base 2, and such that the sequence has very small discrepancy . In…
The exact order of discrepancy for Levin's normal number in base 2
Roswitha Hofer, Gerhard Larcher
Mordechay Levin has constructed a number which is normal in base 2, and such that the sequence has very small discrepancy . Indeed…
Finding both, the continued fraction and the Laurent series expansion of golden ratio analogs in the field of formal power series
Roswitha Hofer
The focus of this paper is on formal power series analogs of the golden ratio. We are interested in both their continued fractions expansions as well as their Laurent series expans…