Canonical number systems over imaginary quadratic Euclidean domains
Volume 146 / 2017
Colloquium Mathematicum 146 (2017), 165-186
MSC: Primary 11A63; Secondary 11K16.
DOI: 10.4064/cm6728-12-2015
Published online: 9 September 2016
Abstract
We investigate canonical number systems over imaginary quadratic Euclidean domains. We define a canonical digit set in a uniform way. Linear ECNS polynomials are characterized completely. We prove that for every degree there are infinitely many ECNS polynomials. As a byproduct we give a sufficient condition for a polynomial to be symmetric-CNS.
