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Hilbert’s Irreducibility Theorem

Chapter
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Part of the Aspects of Mathematics book series (ASMA, volume 15)

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 ,...

Keywords

Elliptic Curf Galois Group Finite Union Ground Field Open Subscheme 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Fachmedien Wiesbaden 1997

Authors and Affiliations

  1. 1.Chaire d’Algèbre et GéométrieCollège de FranceParisFrance

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