Antonella Perucca

collaborators

3 papers

math.NT2025

Linear relations among radicals

Antonella Perucca

Let $K$ be a field, fix an algebraic closure $K$ , and let $G$ be a subgroup of $K^{\times}$ . We are able to give a closed formula for the ratio between the degr…

math.NT2024

Kummer theory for function fields

FÃ©lix Baril Boudreau, Antonella Perucca

We develop Kummer theory for algebraic function fields in finitely many transcendental variables. We consider any finitely generated Kummer extension (possibly, over a cyclotomic e…

math.NT2024

The distribution of the multiplicative index of algebraic numbers over residue classes

Pieter Moree, Antonella Perucca, Pietro Sgobba

Let $K$ be a number field and $G$ a finitely generated torsion-free subgroup of $K^{\times}$ . Given a prime $p$ of $K$ we denote by $ind_{p} (G)$ the index o…