2 citations · 2 across the 16 of their papers we have counts for
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Integral Specializations of Polynomials: Hilbert Irreducibility, Coprimality, and Density
Angelot Behajaina, Pierre Dèbes, Martin Widmer
The Hilbert specialization property of a field, whereby irreducibility of polynomials is preserved under specialization of some of the variables, admits an integral counterpart whe…
The Davenport-Lewis-Schinzel problem on the reducibility of
Angelot Behajaina, Joachim König, Danny Neftin
We solve the problem of Davenport--Lewis--Schinzel (DLS), originating in the 1950s, regarding the reducibility of . This yields an almost-complete solut…
Monodromy groups of polynomials of composition length 2
Angelot Behajaina, Joachim König, Danny Neftin
We study the monodromy groups of compositions of two indecomposable polynomials. In particular, we show that such monodromy groups either fulfill a certain ``largeness" property, o…
Integrally Hilbertian rings and the polynomial Schinzel hypothesis
Angelot Behajaina, Pierre Dèbes, Joachim König
The classical Hilbert specialization property is a field-theoretic tool ensuring that polynomial irreducibility over a field is preserved under specialization of some of the variab…
On the maximum size of ultrametric orthogonal sets over discrete valued fields
Noy Soffer Aranov, Angelot Behajaina
Let be a discrete valued field with finite residue field. In analogy with orthogonality in the Euclidean space , there is a well-studied notion of "ultr…