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math.NT2019
Pre-Galois theory
David Harbater, Pierre Dèbes
We introduce and study a class of field extensions that we call pre-Galois; viz. extensions that become Galois after some linearly disjoint Galois base change. Among them are geome…
math.NT2019
The Schinzel Hypothesis for Polynomials
Arnaud Bodin, Pierre Dèbes, Salah Najib
The Schinzel hypothesis is a famous conjectural statement about primes in value sets of polynomials, which generalizes the Dirichlet theorem about primes in an arithmetic progressi…