1 citations · 1 across the 6 of their papers we have counts for
7 papers
A Local Limit Theorem for Integer Partitions into Small Powers
Gabriel F. Lipnik, Manfred G. Madritsch, Robert F. Tichy
The investigation of partitions of integers plays an important role in combinatorics and number theory. Among the many variations, partitions into powers were of recent int…
On a question of Mendès France on normal numbers
Verónica Becher, Manfred G. Madritsch
In 2008 or earlier, Michel Mendès France asked for an instance of a real number such that both and are simply normal to a given integer base . We give a positive a…
Computable Absolutely Pisot Normal Numbers
Manfred G. Madritsch, Adrian-Maria Scheerer, Robert F. Tichy
We analyze the convergence order of an algorithm producing the digits of an absolutely normal number. Furthermore, we introduce a stronger concept of absolute normality by allowing…
Dynamical systems and uniform distribution of sequences
M. G. Madritsch, R. F. Tichy
We give a survey on classical and recent applications of dynamical systems to number theoretic problems. In particular, we focus on normal numbers, also including computational asp…
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…