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2018

2018

Hilbert's irreducibility theorem plays an important role in inverse Galois theory. In this article we introduce Hilbertian fields… Expand

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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… Expand

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2010

2010

The paper offers versions of Hilbert's Irreducibility Theorem for the lifting of points in a cyclic subgroup of an algebraic… Expand

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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… Expand

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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… Expand

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1998

1998

We extend the effective Hilbert irreducibility theorem concerning the reduction of a single multivariate polynomial to one… Expand

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Highly Cited

1995

Highly Cited

1995

An absolutely irreducible multivariate polynomial is a polynomial that cannot be factored even if the coefficients of the factors… Expand

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1991

1991

Using recent absolute irreducibility testing algorithms, we derive new irreducibility forms. These are integer polynomials in… Expand

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1988

1988

Etude des extensions algebriques dans les modeles non standards. Applications a la theorie des nombres. Theoreme d… Expand

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1985

1985

In this paper we prove by entirely elementary means a very effective version of the Hilbert irreducibility theorem. We then apply… Expand

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