A note on the Hilbert irreducibility theorem. The irreducibility theorem and the strong approximation theorem
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Publication:2277516
DOI10.3792/pjaa.66.101zbMath0725.12003OpenAlexW2058806784MaRDI QIDQ2277516
Publication date: 1990
Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3792/pjaa.66.101
irreducible polynomialHilbert's irreducibility theoremstrong approximation theorembasic Hilbert subsets
Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials over finite fields (11T06) Hilbertian fields; Hilbert's irreducibility theorem (12E25)
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Fibration method and Manin obstruction ⋮ Galois covers of \(\mathbb P^1\) over \(\mathbb Q\) with prescribed local or global behavior by specialization ⋮ Tame \(A_{n}\)-extensions of \({\mathbb Q}\) ⋮ On the irreducibility of the polynomials \(P(t^ m,Y)\)
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