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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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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… 
2016
2016
On the Hilbert property and the fundamental group of algebraic varieties
In this paper we link the so-called Hilbert property (HP) for an algebraic variety (over a number field) with its fundamental… 
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… 
2002
2002
Irreducibility, brill-noether loci, and Vojta's inequality
This paper deals with generalizations of Hilbert's irreducibility theorem. The classical Hilbert irreducibility theorem states… 
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… 
2000
2000
Extended Hilbert irreducibility and its applications
We extend the effective Hilbert irreducibility theorem concerning the reduction of a single multivariate polynomial to one… 
1988
1988
Algebraic extensions in nonstandard models and Hilbert's irreducibility theorem
  • M. Yasumoto
  • Journal of Symbolic Logic (JSL)
  • 1988
  • Corpus ID: 26896890
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… 
Highly Cited
1983
Highly Cited
1983
Factoring Sparse Multivariate Polynomials
1983
1983
Factorization of Polynomials
Algorithms for factoring polynomials in one or more variables over various coefficient domains are discussed. Special emphasis is… 
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