2 papers
math.NT2026
Counting number fields of fixed degree by their smallest defining polynomial
Santiago Arango-Piñeros, Fabian Gundlach, Robert J. Lemke Oliver +5
When do two irreducible polynomials with integer coefficients define the same number field? One can define an action of on the space of polynom…
math.NT2025
Symmetries of power-free integers in number fields and their shift spaces
Fabian Gundlach, Jürgen Klüners
We describe the group of -linear automorphisms of the ring of integers of a number field that preserve the set of th power-free integers: every such map…