Perucca, Antonella (2017) Reductions of one-dimensional tori. INTERNATIONAL JOURNAL OF NUMBER THEORY, 13 (6). pp. 1473-1489. ISSN 1793-0421, 1793-7310
Full text not available from this repository. (Request a copy)Abstract
Consider a non-split one-dimensional torus defined over a number field K. For a finitely generated group G of rational points and for a prime number l, we investigate for how many primes p of K the size of the reduction of G modulo p is coprime to l. We provide closed formulas for the corresponding Dirichlet density in terms of finitely many computable parameters. To achieve this, we determine in general which torsion fields and Kummer extensions contain the splitting field.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Torus; number field; Kummer theory; reduction; density |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:16 |
| Last Modified: | 20 Feb 2019 11:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/1650 |
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