# Hilbert's irreducibility theorem

## Papers overview

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Review

2009

Review

2009

- 2009

We discuss the Hilbert Irreducibility Theorem, presenting briefly a new approach which leads to novel conclusions, especially inâ€¦Â (More)

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2007

2007

- 2007

We prove a version of the Hilbert Irreducibility Theorem for linear algebraic groups. Given a connected linear algebraic group Gâ€¦Â (More)

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2005

2005

- Finite Fields and Their Applications
- 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 allâ€¦Â (More)

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Highly Cited

2003

Highly Cited

2003

- Math. Comput.
- 2003

A new method is presented for factorization of bivariate polynomials over any field of characteristic zero or of relatively largeâ€¦Â (More)

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2003

2003

- ISSAC
- 2003

The problem of factoring a polynomial in a single or severalvariables over a finite field, the rational numbers or theâ€¦Â (More)

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2002

2002

- 2002

This paper deals with generalizations of Hilbertâ€™s irreducibility theorem. The classical Hilbert irreducibility theorem statesâ€¦Â (More)

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2001

2001

- 2001

This paper deals with generalizations of Hilbertâ€™s irreducibility theorem. The classical Hilbert irreducibility theorem statesâ€¦Â (More)

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1999

1999

- 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 isâ€¦Â (More)

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1998

1998

- SODA
- 1998

We extend the effective Hilbert Irreducibility Theorem concerning the reduction of a single multivariate polynomial to oneâ€¦Â (More)

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1998

1998

- 1998

We give an elementary self-contained proof of the following result, which Pop proved with methods of rigid geometry. Theorem: Letâ€¦Â (More)

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