La factorisation de $x^{p^l}-x\in{\mathbb F}\_p[x]$ selon la trace

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dc.creatorBacher, Roland
dc.date2006-07-18
dc.date.accessioned2026-07-07T07:18:28Z
dc.date.available2026-07-07T07:18:28Z
dc.descriptionWe present a few factorizations of polynomials over finite fields. These factorizations are related to traces, compositions of polynomials and binomial coefficients. As a corollary we obtain a description of all irreducible polynomials $Q\in {\mathbb F}\_2[x]$ such that $Q(1+x+x^2)$ (or $Q(x+x^2)$) remain irreducible.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0607413
dc.identifierhttp://arxiv.org/abs/math/0607413
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114312
dc.subjectNumber Theory
dc.titleLa factorisation de $x^{p^l}-x\in{\mathbb F}\_p[x]$ selon la trace
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