Multiply integer-valued polynomials in a Galois field.

Laohakosol, Vichian; Kongsakorn, Kannika

Displaying similar documents to “Multiply integer-valued polynomials in a Galois field.”

On subfields of $k (x)$

Victor Alexandru, Nicolae Popescu (1986)

Rendiconti del Seminario Matematico della Università di Padova

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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) =...