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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

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…