Debry, Christophe and Perucca, Antonella (2016) Reductions of algebraic integers. JOURNAL OF NUMBER THEORY, 167. pp. 259-283. ISSN 0022-314X, 1096-1658
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Let K be a number field, and let G be a finitely generated subgroup of K-X. Fix some prime number l, and consider the set of primes p of K satisfying the following property: the reduction of G modulo p 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. (C) 2016 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Number field; Algebraic integer; Reduction; Kummer theory; Density |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Mar 2019 14:15 |
| Last Modified: | 03 Apr 2019 11:40 |
| URI: | https://pred.uni-regensburg.de/id/eprint/3268 |
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