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Journal Article

The factorization of f(x)x n + g(x) with f(x) monic and of degree ≤ 2

Joshua HARRINGTON, Andrew VINCENT and Daniel WHITE
Journal de Théorie des Nombres de Bordeaux
Vol. 25, No. 3 (2013), pp. 565-578
Stable URL: http://www.jstor.org/stable/43973166
Page Count: 14
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The factorization of f(x)x
          n
          + g(x) with f(x) monic and of degree ≤ 2
Preview not available

Abstract

Dans cet article, nous étudions la factorisation des polynômes f(x)xn + g(x) ϵ ℤ[x] dans le cas particulier où f(x) est un polynôme quadratique unitaire avec discriminant négatif. Nous mentionnons également des résultats similaires dans le cas où f(x) est unitaire et linéaire. In this paper we investigate the factorization of the polynomials f(x)xn + g(x) ϵ ℤ[x] in the special case where f(x) is a monic quadratic polynomial with negative discriminant. We also mention similar results in the case that f(x) is monic and linear.

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