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Canonical number systems over imaginary quadratic Euclidean domains

Volume 146 / 2017

Attila Pethő, Péter Varga 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.

Authors

  • Attila PethőDepartment of Computer Science
    University of Debrecen
    P.O. Box 12
    H-4010 Debrecen, Hungary
    and
    University of Ostrava
    Faculty of Science
    Dvořákova 7
    70103 Ostrava, Czech Republik
    e-mail
  • Péter VargaSemmelweis utca 23, 3/23
    H-1052 Budapest, Hungary
    e-mail

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