On the irreducibility of the polynomials \(P(t^ m,Y)\)

DOI10.1016/0022-314X(92)90018-KzbMath0770.12005MaRDI QIDQ1198932

Pierre Dèbes

Publication date: 16 January 1993

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

irreducible polynomialsHilbert's irreducibility theorem

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

Related Items (7)

Finiteness results for Hilbert's irreducibility theorem ⋮ Reducibility behavior of polynomials with varying coefficients ⋮ Straight-line programs in geometric elimination theory ⋮ On Hilbert’s irreducibility theorem for linear algebraic groups ⋮ Non-parametric sets of regular realizations over number fields ⋮ On -unramified extensions over imaginary quadratic fields ⋮ Hilbert irreducibility above algebraic groups

Cites Work

• A note on the Hilbert irreducibility theorem. The irreducibility theorem and the strong approximation theorem
• G-fonctions et théorème d'irreductibilite de Hilbert
• Arithmetic specializations in polynomials.
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