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Hilbert’s Irreducibility Theorem

  • Serge Lang
Chapter

Abstract

In its simplest form, Hilbert’s theorem asserts : let f(t, X) be a polynomial in Q[f, X] (so in two variables), and assume that f(t, X) is irreducible. Then there exist infinitely many rational numbers t 0 such that f(t 0, X) is irreducible over Q.

Keywords

Abelian Variety Number Field Finite Type Finite Extension Quotient Field 
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 Science+Business Media New York 1983

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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