Mario Weitzer

activity

20142019

most citedA number theoretic problem on the distribution of polynomials with bounded roots

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2019

An introduction to $p$ -adic systems: A new kind of number systems inspired by the Collatz $3 n + 1$ conjecture

Mario Weitzer

This article introduces a new kind of number systems on $p$ -adic integers which is inspired by the well-known $3 n + 1$ conjecture of Lothar Collatz. A $p$ -adic system is a piecewise…

math.NT2017

The finiteness property for shift radix systems with general parameters

Attila Pethő, Jörg Thuswaldner, Mario Weitzer

There are two-dimensional expanding shift radix systems (SRS) which have some periodic orbits. The aim of the present paper is to describe such unusual points as well as possible.…

math.MG2016

Constrained Triangulations, Volumes of Polytopes, and Unit Equations

Michael Kerber, Robert Tichy, Mario Weitzer

Given a polytope $P$ in $R^{d}$ and a subset $U$ of its vertices, is there a triangulation of $P$ using $d$ -simplices that all contain $U$ ? We answer thi…

math.NT2014

On the characterization of Pethő's Loudspeaker

Mario Weitzer

For $d \in N$ and $r \in C^{d}$ let $γ_{r} : Z [i]^{d} \to Z [i]^{d}$ , where $γ_{r} (a) = (a_{2}, ..., a_{d},$ $…

math.NT2014★ 1 cited

A number theoretic problem on the distribution of polynomials with bounded roots

Peter Kirschenhofer, Mario Weitzer

Let $E_{d}^{(s)}$ denote the set of coefficient vectors $(a_{1}, \dots, a_{d}) \in R^{d}$ of contractive polynomials $x^{d} + a_{1} x^{d - 1} + \dots + a_{d} \in R [x]$ that have e…

math.NT2014

Characterization algorithms for shift radix systems with finiteness property

Mario Weitzer

For a natural number d and a d-dimensional real vector r let Tau(r) denote the (d-dimensional) shift radix system associated with r. Tau(r) is said to have the finiteness property…

An introduction to p-adic systems: A new kind of number systems inspired by the Collatz 3n+1 conjecture

The finiteness property for shift radix systems with general parameters

Constrained Triangulations, Volumes of Polytopes, and Unit Equations

On the characterization of Pethő's Loudspeaker

A number theoretic problem on the distribution of polynomials with bounded roots

Characterization algorithms for shift radix systems with finiteness property

An introduction to $p$ -adic systems: A new kind of number systems inspired by the Collatz $3 n + 1$ conjecture