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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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Irreducible polynomial
Papers overview
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2016
2016
Explicit Hilbert Irreducibility
David Krumm
2016
Corpus ID: 119578707
Let $P(T,X)$ be an irreducible polynomial in two variables with rational coefficients. It follows from Hilbert's Irreducibility…
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2016
2016
On the Hilbert property and the fundamental group of algebraic varieties
P. Corvaja
,
U. Zannier
2016
Corpus ID: 119585764
In this paper we link the so-called Hilbert property (HP) for an algebraic variety (over a number field) with its fundamental…
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2010
2010
Hilbert Irreducibility above algberaic groups
U. Zannier
2010
Corpus ID: 115167627
The paper offers versions of Hilbert's Irreducibility Theorem for the lifting of points in a cyclic subgroup of an algebraic…
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2007
2007
Ideal class groups, Hilbert's irreducibility theorem, and integral points of bounded degree on curves
A. Levin
2007
Corpus ID: 124554852
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…
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2002
2002
Irreducibility, brill-noether loci, and Vojta's inequality
T. Tucker
2002
Corpus ID: 3864782
This paper deals with generalizations of Hilbert's irreducibility theorem. The classical Hilbert irreducibility theorem states…
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2000
2000
On a Special Case of Hilbert's Irreducibility Theorem
M. Cavachi
2000
Corpus ID: 119847119
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…
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2000
2000
Extended Hilbert irreducibility and its applications
Ming-Deh A. Huang
,
Y. Wong
ACM-SIAM Symposium on Discrete Algorithms
2000
Corpus ID: 18923919
We extend the effective Hilbert irreducibility theorem concerning the reduction of a single multivariate polynomial to one…
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1988
1988
Algebraic extensions in nonstandard models and Hilbert's irreducibility theorem
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…
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Highly Cited
1983
Highly Cited
1983
Factoring Sparse Multivariate Polynomials
J. Gathen
,
E. Kaltofen
Journal of computer and system sciences (Print)
1983
Corpus ID: 28790618
1983
1983
Factorization of Polynomials
E. Kaltofen
1983
Corpus ID: 18352153
Algorithms for factoring polynomials in one or more variables over various coefficient domains are discussed. Special emphasis is…
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