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… (More)
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Review
2009
Review
2009
We discuss the Hilbert Irreducibility Theorem, presenting briefly a new approach which leads to novel conclusions, especially in… (More)
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2007
2007
We prove a version of the Hilbert Irreducibility Theorem for linear algebraic groups. Given a connected linear algebraic group G… (More)
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2005
2005
We prove: Let A be an abelian variety over a number field K. Then K has a finite Galois extension L such that for almost all… (More)
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Highly Cited
2003
Highly Cited
2003
A new method is presented for factorization of bivariate polynomials over any field of characteristic zero or of relatively large… (More)
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2003
2003
The problem of factoring a polynomial in a single or severalvariables over a finite field, the rational numbers or the… (More)
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2002
2002
This paper deals with generalizations of Hilbert’s irreducibility theorem. The classical Hilbert irreducibility theorem states… (More)
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2001
2001
  • VOJTA’S INEQUALITY
  • 2001
This paper deals with generalizations of Hilbert’s irreducibility theorem. The classical Hilbert irreducibility theorem states… (More)
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1999
1999
  • Elena V. Black
  • 1999
Given a G-Galois extension of number fields L/K we ask whether it is a specialization of a regular G-Galois cover of PK . This is… (More)
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1998
1998
We extend the effective Hilbert Irreducibility Theorem concerning the reduction of a single multivariate polynomial to one… (More)
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1998
1998
We give an elementary self-contained proof of the following result, which Pop proved with methods of rigid geometry. Theorem: Let… (More)
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