Bhatia, Saurabh ; Khanduja, Sudesh K. (2001) Difference polynomials and their generalizations Mathematika, 48 (1-2). pp. 293-299. ISSN 0025-5793
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Official URL: http://journals.cambridge.org/action/displayAbstra...
Related URL: http://dx.doi.org/10.1112/S0025579300014509
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 Stefãnescu 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 Stefãnescu is a special case.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to University College London. |
| Keywords: | 12E05: Field Theory and Polynomials; General Field Theory; Polynomials (irreducibility; Etc; ) |
| ID Code: | 69894 |
| Deposited On: | 19 Nov 2011 11:05 |
| Last Modified: | 19 Nov 2011 11:05 |
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