Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593170 | Journal of Number Theory | 2016 | 25 Pages |
Abstract
Let K be a number field, and let G be a finitely generated subgroup of K×K×. Fix some prime number ℓ , and consider the set of primes pp of K satisfying the following property: the reduction of G modulo pp is well-defined and has size coprime to ℓ. We are able to give a closed-form expression for the natural density of this set.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Christophe Debry, Antonella Perucca,