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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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2016
2016
Let $P(T,X)$ be an irreducible polynomial in two variables with rational coefficients. It follows from Hilbert's Irreducibility… 
2016
2016
In this paper we link the so-called Hilbert property (HP) for an algebraic variety (over a number field) with its fundamental… 
2010
2010
The paper offers versions of Hilbert's Irreducibility Theorem for the lifting of points in a cyclic subgroup of an algebraic… 
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… 
2000
2000
We extend the effective Hilbert irreducibility theorem concerning the reduction of a single multivariate polynomial to one… 
1988
1988
  • 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
1983
1983
Algorithms for factoring polynomials in one or more variables over various coefficient domains are discussed. Special emphasis is…