Speaker
Borka Jadrijević
Description
In this talk we give an explicit characterization of all bases of $\varepsilon-$canonical number systems ($\varepsilon-$CNS) with finiteness property in quadratic number fields for all values $\varepsilon\in\lbrack0,1)$. This result is a consequence of the recent result of Jadrijević and Miletić on the characterization of quadratic $\varepsilon-$CNS polynomials. Our result includes the well-known characterization of all bases of classical CNS ($\varepsilon=0$) with finiteness property in quadratic number fields. It also fits into the general framework of generalized number systems (GNS) introduced by A. Peth\H{o} and J. Thuswaldner.
