Abstract
Hilbert’s irreducibility theorem has quite a large number of proofs, based on different principles; some give precise estimates for the number of integers that one seeks. There are several applications: the construction of elliptic curves over Q having rank ≥ 9 and the construction of extensions of Q with Galois groups S n , A n ,...
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© 1997 Springer Fachmedien Wiesbaden
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Serre, JP. (1997). Hilbert’s Irreducibility Theorem. In: Brown, M. (eds) Lectures on the Mordell-Weil Theorem. Aspects of Mathematics, vol 15. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-10632-6_9
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DOI: https://doi.org/10.1007/978-3-663-10632-6_9
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-663-10634-0
Online ISBN: 978-3-663-10632-6
eBook Packages: Springer Book Archive