On the decomposition of .

Gomez-Calderon, Javier

Displaying similar documents to “On the decomposition of $x^{d} + a_{e} x^{e} + \dots + a_{1} x + a_{0}$ .”

An irreducibility criterion for polynomials in several variables

Marius Cavachi, Marian Vâjâitu, Alexandru Zaharescu (2004)

Acta Mathematica Universitatis Ostraviensis

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On the irreducibility of 0,1-polynomials of the form f(x)xⁿ + g(x)

Michael Filaseta, Manton Matthews, Jr. (2004)

Colloquium Mathematicae

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If f(x) and g(x) are relatively prime polynomials in ℤ[x] satisfying certain conditions arising from a theorem of Capelli and if n is an integer > N for some sufficiently large N, then the non-reciprocal part of f(x)xⁿ + g(x) is either identically ±1 or is irreducible over the rationals. This result follows from work of Schinzel in 1965. We show here that under the conditions that f(x) and g(x) are relatively prime 0,1-polynomials (so each coefficient is either 0 or 1) and f(0) =...

An algorithm for finding distinguished chains of polynomials.

Zaharescu, Alexandru (2003)

Acta Universitatis Apulensis. Mathematics - Informatics

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Classification of irreducible factorable polynomials over a finite field

Andrew Long (1967)

Acta Arithmetica

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Root separation for reducible monic quartics

Andrej Dujella, Tomislav Pejković (2011)

Rendiconti del Seminario Matematico della Università di Padova

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Solving quadratic equations over polynomial rings of characteristic two.

Jorgen Cherly, Luis Gallardo, Leonid Vaserstein, Ethel Wheland (1998)

Publicacions Matemàtiques

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We are concerned with solving polynomial equations over rings. More precisely, given a commutative domain A with 1 and a polynomial equation a_ntⁿ + ...+ a₀ = 0 with coefficients a_i in A, our problem is to find its roots in A. We show that when A = B[x] is a polynomial ring, our problem can be reduced to solving a finite sequence of polynomial equations over B. As an application of this reduction,...

The pole placement equation. A survey

Vladimír Kučera (1994)

Kybernetika

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Self-reciprocal polynomials over finite fields.

Meyn, Helmut, Götz, Werner (1989)

Séminaire Lotharingien de Combinatoire [electronic only]

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Displaying similar documents to “On the decomposition of x d + a e x e + ⋯ + a 1 x + a 0 .”

Displaying similar documents to “On the decomposition of $x^{d} + a_{e} x^{e} + \dots + a_{1} x + a_{0}$ .”