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On Hilbert’s irreducibility theorem

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Publication:5368810
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DOI10.4064/aa8380-2-2017zbMath1427.11061arXiv1602.00314OpenAlexW2962774248MaRDI QIDQ5368810

Rainer Dietmann, Abel Castillo

Publication date: 10 October 2017

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00314


zbMATH Keywords

Hilbert's irreducibility theoremGalois resolventsquantitative boundsinteger points on curves and hypersurfaces


Mathematics Subject Classification ID

Galois theory (11R32) Polynomials in number theory (11C08) Varieties over global fields (11G35) Density theorems (11R45)


Related Items (7)

Towards van der Waerden’s conjecture ⋮ An improvement on Schmidt’s bound on the number of number fields of bounded discriminant and small degree ⋮ On the typical rank of elliptic curves over \(\mathbb{Q}(T)\) ⋮ Differential Elimination for Dynamical Models via Projections with Applications to Structural Identifiability ⋮ Galois groups of n 0 + n 1 X + ⋯ + n 6 X6 ⋮ An effective Chebotarev density theorem for families of number fields, with an application to \(\ell \)-torsion in class groups ⋮ A game with two players choosing the coefficients of a polynomial




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