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DENSITY ESTIMATES ON COMPOSITE POLYNOMIALS

Part of: Geometric function theory Basic linear algebra

Published online by Cambridge University Press:  07 August 2013

WAI SHUN CHEUNG ,
TUEN WAI NG  and
CHIU YIN TSANG
WAI SHUN CHEUNG
Affiliation:
Department of Mathematics, The University of Hong Kong, Pokfulam, Hong Kong email [email protected]@yahoo.com.hk
TUEN WAI NG*
Affiliation:
Department of Mathematics, The University of Hong Kong, Pokfulam, Hong Kong email [email protected]@yahoo.com.hk
CHIU YIN TSANG
Affiliation:
Department of Mathematics, The University of Hong Kong, Pokfulam, Hong Kong email [email protected]@yahoo.com.hk
*
✉[email protected]
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Abstract

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Ritt introduced the concepts of prime and composite polynomials and proved three fundamental theorems on factorizations (in the sense of compositions) of polynomials in 1922. In this paper, we shall give a density estimate on the set of composite polynomials.

Keywords

prime and composite polynomialsdensity estimates

MSC classification

Secondary: 30C10: Polynomials 15A60: Norms of matrices, numerical range, applications of functional analysis to matrix theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 95 , Issue 3 , December 2013 , pp. 329 - 342
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

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