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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.NT2014★ 2 cited
On a correlational clustering of integers
L. Aszalós, L. Hajdu, A. Pethő
Correlation clustering is a concept of machine learning. The ultimate goal of such a clustering is to find a partition with minimal conflicts. In this paper we investigate a correl…
math.NT2012
Simplest Cubic Number Fields
Franz Lemmermeyer, Attila Pethö
In this paper we intend to show that certain integers do not occur as the norms of principal ideals in a family of cubic fields studied by Cohn, Shanks, and Ennola. These results w…