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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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Irreducible polynomial

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Hilbertian fields and Hilbert's irreducibility theorem
Hilbert's irreducibility theorem plays an important role in inverse Galois theory. In this article we introduce Hilbertian fields… 
2016
2016
Explicit Hilbert Irreducibility
Let $P(T,X)$ be an irreducible polynomial in two variables with rational coefficients. It follows from Hilbert's Irreducibility… 
Review
2011
Review
2011
MOTIVATED CYCLES UNDER SPECIALIZATION
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
U. Zannier ON THE HILBERT IRREDUCIBILITY THEOREM
We discuss the Hilbert Irreducibility Theorem, presenting briefly a new approach which leads to novel conclusions, especially in… 
2005
2005
Torsion of abelian varieties over large algebraic fields
1996
1996
Polynomials, Constructivity and Randomness 1
We discuss some eeective characterizations of the prime elements in a polynomial ring and polynomial factorization techniques. We… 
1988
1988
Algebraic extensions in nonstandard models and Hilbert's irreducibility theorem
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… 
1987
1987
Bound recent results on the Hilbert irreducibility theorem
Review
1987
Review
1987
Review: Peter Roquette, Nonstandard Aspects of Hilbert's Irreducibility Theorem
1985
1985
A recursive model for arithmetic with weak induction
Before stating the results we would like to thank the referee for reorganizing the whole paper and changing its original logical… 
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