8 papers
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…
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…
Counting Problems for Orthogonal Sets and Sublattices in Function Fields
Noy Soffer Aranov, Angelot Behajaina
Let . Analogous to orthogonality in the Euclidean space , there exists a well-studied notion of ultrametric orthogonality in $\mat…
The intersection densities of transitive actions of with cyclic point stabilizers
Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra
Given a finite transitive group , the {intersection density} of is defined as the ratio between the size of the largest subsets of in which any…
The Combinatorial Nullstellensatz, Chevalley-Warning Theorem and weak Finitesatz in skew polynomial rings
Gil Alon, Angelot Behajaina, Elad Paran
We study zeros of polynomials in the multivariate skew polynomial ring , where is an automorphism of a division ring . We prove a generalization of Nog…