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math.NT2026
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…
math.NT2026
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…
math.NT2026
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…