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math.CO2025
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 t…
math.AC2025
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…
math.NT2025
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…