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Difference polynomials and their generalizations

Part of: General field theory

Published online by Cambridge University Press:  26 February 2010

Saurabh Bhatia  and
Sudesh K. Khanduja
Saurabh Bhatia
Affiliation:
Department of Mathematics, Panjab University, Chandigarh-160014, India. E-mail: srbmaths@yahoo.com
Sudesh K. Khanduja
Affiliation:
Department of Mathematics, Panjab University, Chandigarh-160014, India. E-mail: skhand@pu.ac.in
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Abstract

A well-known result of Ehrenfeucht states that a difference polynomial f(X)-g(Y) in two variables X, Y with complex coefficients is irreducible if the degrees of f and g are coprime. Panaitopol and Stefǎnescu generalized this result, by giving an irreducibility condition for a larger class of polynomials called “generalized difference polynomials”. This paper gives an irreducibility criterion for more general polynomials, of which the criterion of Panaitopol and Stefǎnescu is a special case.

MSC classification

Secondary: 12E05: Polynomials (irreducibility, etc.)
Type
Research Article
Information
Mathematika , Volume 48 , Issue 1-2 , December 2001 , pp. 293 - 299
Copyright
Copyright © University College London 2001

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References

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