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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

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2018
2018
Hilbert's irreducibility theorem plays an important role in inverse Galois theory. In this article we introduce Hilbertian fields… 
2016
2016
Let $P(T,X)$ be an irreducible polynomial in two variables with rational coefficients. It follows from Hilbert's Irreducibility… 
Review
2011
Review
2011
This paper is essentially a survey of André’s theory of pure motivated motives with an emphasis on specialization theory in… 
Review
2009
Review
2009
We discuss the Hilbert Irreducibility Theorem, presenting briefly a new approach which leads to novel conclusions, especially in… 
2005
2005
1996
1996
We discuss some eeective characterizations of the prime elements in a polynomial ring and polynomial factorization techniques. We… 
1988
1988
Let K be an algebraic number field and IK the ring of algebraic integers in K. *K and *IK denote enlargements of K and IK… 
1985
1985
Before stating the results we would like to thank the referee for reorganizing the whole paper and changing its original logical…