5 citations · 20 across the 19 of their papers we have counts for
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Construction of normal numbers via pseudo-polynomial prime sequences
Manfred G. Madritsch
In the present paper we construct normal numbers in base by concatenating -ary expansions of pseudo polynomials evaluated at the primes. This extends a recent result by Tich…
Forms of differing degrees over number fields
Christopher Frei, Manfred Madritsch
Consider a system of polynomials in many variables over the ring of integers of a number field . We prove an asymptotic formula for the number of integral zeros of this system i…
On multiplicatively independent bases in cyclotomic number fields
Manfred G. Madritsch, Volker Ziegler
Recently the authors showed that the algebraic integers of the form are bases of a canonical number system of provided , where denote…
Non-normal numbers with respect to infinite Markov partitions
Manfred Madritsch
In the present paper we investigate two special types of non-normal numbers. On the one hand we call a number extremely non-normal if the set of accumulation points of its frequenc…
Non-normal numbers in dynamical systems fulfilling the specification property
Manfred G. Madritsch, Izabela Petrykiewicz
In the present paper we want to focus on this dichotomy of the non-normal numbers -- on the one hand they are a set of measure zero and on the other hand they are residual -- for d…
An infinite family of multiplicatively independent bases of number systems in cyclotomic number fields
Manfred Madritsch, Volker Ziegler
Let be a -th primitive root of unity, an integer and the -th cyclotomic polynomial. In this paper we show that the pair $(-m+ζ_k,…