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math.NT2020
The Hilbert-Schinzel specialization property
Arnaud Bodin, Pierre Dèbes, Joachim König +1
We establish a version "over the ring" of the celebrated Hilbert Irreducibility Theorem. Given finitely many polynomials in variables, with coefficients in , of po…
math.NT2020★ 1 cited
The relative Schinzel hypothesis
Arnaud Bodin, Pierre Dèbes, Salah Najib
The Schinzel Hypothesis is a conjecture about irreducible polynomials in one variable over the integers: under some standard condition, they should assume infinitely many prime val…
math.NT2020
Prime and coprime values of polynomials
Arnaud Bodin, Pierre Dèbes, Salah Najib
The Schinzel Hypothesis is a celebrated conjecture in number theory linking polynomial values and prime numbers. In the same vein we investigate the common divisors of values $P_1(…