2 papers
math.NT2025
An exact family of bivariate polynomials and Variants of Chinburg's Conjectures
Marie-José Bertin, Mahya Mehrabdollahei
This article provides some solutions to Chinburg's conjectures by studying a sequence of multivariate polynomials. These conjectures assert that for every odd quadratic Dirichlet C…
math.NT2025
A characterization of the distances between Pisot numbers generating the same number field
M. J. Bertin, T. Zaïmi
Let K be a real algebraic number field and let P be the set of Pisot numbers generating K. We show that the elements of P-P are the algebraic integers of K whose images under the a…