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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
Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Hilbertian fields and Hilbert's irreducibility theorem
R. Coleman
,
Laurent Zwald
2018
Corpus ID: 119328298
Hilbert's irreducibility theorem plays an important role in inverse Galois theory. In this article we introduce Hilbertian fields…
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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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Review
2011
Review
2011
MOTIVATED CYCLES UNDER SPECIALIZATION
A. Cadoret
2011
Corpus ID: 18439978
This paper is essentially a survey of André’s theory of pure motivated motives with an emphasis on specialization theory in…
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Review
2009
Review
2009
U. Zannier ON THE HILBERT IRREDUCIBILITY THEOREM
U. Zannier
2009
Corpus ID: 18735305
We discuss the Hilbert Irreducibility Theorem, presenting briefly a new approach which leads to novel conclusions, especially in…
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2005
2005
Torsion of abelian varieties over large algebraic fields
W. Geyer
,
M. Jarden
Finite Fields Their Appl.
2005
Corpus ID: 19006876
1996
1996
Polynomials, Constructivity and Randomness 1
Doru S Tef Anescu
1996
Corpus ID: 10462225
We discuss some eeective characterizations of the prime elements in a polynomial ring and polynomial factorization techniques. We…
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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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1987
1987
Bound recent results on the Hilbert irreducibility theorem
P. Dèbes
1987
Corpus ID: 124292487
Review
1987
Review
1987
Review: Peter Roquette, Nonstandard Aspects of Hilbert's Irreducibility Theorem
A. Prestel
1987
Corpus ID: 117261198
1985
1985
A recursive model for arithmetic with weak induction
Z. Adamowicz
,
G. Morales-Luna
Journal of Symbolic Logic (JSL)
1985
Corpus ID: 13169174
Before stating the results we would like to thank the referee for reorganizing the whole paper and changing its original logical…
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