caa a22 4500 463171500 CHVBK 20180406164814.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10998-007-4177-y doi (NATIONALLICENCE)springer-10.1007/s10998-007-4177-y Reducible cubic CNS polynomials [Elektronische Daten] [Shigeki Akiyama, Horst Brunotte, Attila Pethő] The concept of a canonical number system can be regarded as a natural generalization of decimal representations of rational integers to elements of residue class rings of polynomial rings. Generators of canonical number systems are CNS polynomials which are known in the linear and quadratic cases, but whose complete description is still open. In the present note reducible CNS polynomials are treated, and the main result is the characterization of reducible cubic CNS polynomials. Springer Science+Business Media B.V., 2007 CNS polynomial nationallicence canonical number system nationallicence radix representation nationallicence Akiyama Shigeki Department of Mathematics, Faculty of Science, Niigata University, Ikarashi 2-8050, 950-2181, Niigata, Japan aut Brunotte Horst Haus-Endt-Strasse 88, D-40593, Düsseldorf, Germany aut Pethő Attila Department of Computer Science, University of Debrecen, P.O. Box 12, H-4010, Debrecen, Hungary aut Periodica Mathematica Hungarica Springer Netherlands 55/2(2007-11-01), 177-183 0031-5303 55:2<177 2007 55 10998 https://doi.org/10.1007/s10998-007-4177-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10998-007-4177-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Akiyama Shigeki Department of Mathematics, Faculty of Science, Niigata University, Ikarashi 2-8050, 950-2181, Niigata, Japan aut NATIONALLICENCE 700 1- Brunotte Horst Haus-Endt-Strasse 88, D-40593, Düsseldorf, Germany aut NATIONALLICENCE 700 1- Pethő Attila Department of Computer Science, University of Debrecen, P.O. Box 12, H-4010, Debrecen, Hungary aut NATIONALLICENCE 773 0- Periodica Mathematica Hungarica Springer Netherlands 55/2(2007-11-01), 177-183 0031-5303 55:2<177 2007 55 10998 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer