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A Unified Proof of Two Classical Theorems on CNS Polynomials

Horst Brunotte
Published Online: 2012-08-01 | DOI: https://doi.org/10.1515/integers-2011-0133


A sufficient condition for a monic integer polynomial to be a semi-CNS polynomial is presented. This result infers a unified proof of two well-known theorems on irreducible CNS polynomials thereby extending them to reducible polynomials.

Keywords: Canonical Number System; CNS Polynomial; Semi-CNS Polynomials

About the article

Received: 2011-08-18

Accepted: 2012-02-16

Published Online: 2012-08-01

Published in Print: 2012-08-01

Citation Information: Integers, Volume 12, Issue 4, Pages 709–721, ISSN (Online) 1867-0652, ISSN (Print) 1867-0652, DOI: https://doi.org/10.1515/integers-2011-0133.

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