Geodesic
Canonical number systems over imaginary quadratic Euclidean domains
Attila Pethő1 ; Péter Varga2
1 Department 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
2 Semmelweis utca 23, 3/23 H-1052 Budapest, Hungary
Colloquium Mathematicum, Tome 146 (2017) no. 2, pp. 165-186.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm6728-12-2015
Keywords: investigate canonical number systems imaginary quadratic euclidean domains define canonical digit set uniform linear ecns polynomials characterized completely prove every degree there infinitely many ecns polynomials byproduct sufficient condition polynomial symmetric cns

Attila Pethő 1 ; Péter Varga 2

1 Department 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
2 Semmelweis utca 23, 3/23 H-1052 Budapest, Hungary 
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Attila Pethő; Péter Varga. Canonical number systems over imaginary quadratic Euclidean domains. Colloquium Mathematicum, Tome 146 (2017) no. 2, pp. 165-186. doi : 10.4064/cm6728-12-2015. http://geodesic.mathdoc.fr/articles/10.4064/cm6728-12-2015/

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