Hilbert’s Irreducibility Theorem

  • Jean-Pierre Serre
Part of the Aspects of Mathematics / Aspekte der Mathematik book series (ASMA, volume E 15)


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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Copyright information

© Springer Fachmedien Wiesbaden 1989

Authors and Affiliations

  • Jean-Pierre Serre
    • 1
  1. 1.Collège de FranceParisFrance

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