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Hilbert's irreducibility theorem

Known as: Hilbert irreducibility theorem 
In number theory, Hilbert's irreducibility theorem, conceived by David Hilbert, states that every finite number of irreducible polynomials in a… 
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Let $P(T,X)$ be an irreducible polynomial in two variables with rational coefficients. It follows from Hilbert's Irreducibility… 
2010
2010
The paper offers versions of Hilbert's Irreducibility Theorem for the lifting of points in a cyclic subgroup of an algebraic… 
Review
2009
Review
2009
We discuss the Hilbert Irreducibility Theorem, presenting briefly a new approach which leads to novel conclusions, especially in… 
2007
2007
R´´ Nousla construction et le comptage, pour tout couple d'entiers m,n > 1, des corps de nombres de degre n dont le groupe des… 
2002
2002
This paper deals with generalizations of Hilbert's irreducibility theorem. The classical Hilbert irreducibility theorem states… 
2000
2000
Abstract We prove that if K is a finite extension of Q , P is the set of prime numbers in Z that remain prime in the ring R of… 
1998
1998
We extend the effective Hilbert irreducibility theorem concerning the reduction of a single multivariate polynomial to one… 
1988
1988
Etude des extensions algebriques dans les modeles non standards. Applications a la theorie des nombres. Theoreme d… 
1985
1985
In this paper we prove by entirely elementary means a very effective version of the Hilbert irreducibility theorem. We then apply… 
1982
1982
Algorithms for factoring polynomials in one or more variables over various coefficient domains are discussed. Special emphasis is…