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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

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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… 
2010
2010
Hilbert Irreducibility above algberaic groups
The paper offers versions of Hilbert's Irreducibility Theorem for the lifting of points in a cyclic subgroup of an algebraic… 
2007
2007
Ideal class groups, Hilbert's irreducibility theorem, and integral points of bounded degree on curves
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… 
2005
2005
Torsion of abelian varieties over large algebraic fields
2000
2000
On a Special Case of Hilbert's Irreducibility Theorem
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… 
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
Polynomials for Primitive Nonsolvable Permutation Groups of Degree d ≤ 15
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… 
Highly Cited
1983
Highly Cited
1983
Factoring Sparse Multivariate Polynomials
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