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Title: Parity of the Number of Irreducible Factors for Composite Polynomials
Authors: Kim, RyulKoepf, Wolfram
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 2008
Series/Report no.: Mathematische Schriften Kassel08, 06
Abstract: Various results on parity of the number of irreducible factors of given polynomials over finite fields have been obtained in the recent literature. Those are mainly based on Swan’s theorem in which discriminants of polynomials over a finite field or the integral ring Z play an important role. In this paper we consider discriminants of the composition of some polynomials over finite fields. The relation between the discriminants of composed polynomial and the original ones will be established. We apply this to obtain some results concerning the parity of the number of irreducible factors for several special polynomials over finite fields.
URI: urn:nbn:de:hebis:34-2008080723156
Appears in Collections:Mathematische Schriften Kassel

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