دورية أكاديمية
A note on the density of k-free polynomial sets, Haar measure and global fields
| العنوان: | A note on the density of k-free polynomial sets, Haar measure and global fields |
|---|---|
| المؤلفون: | Demangos, Luca, Longhi, Ignazio |
| المصدر: | Quaestiones Mathematicae; Vol. 45 No. 9 (2022); 1373-1397 ; 1727-933X ; 1607-3606 |
| بيانات النشر: | Taylor & Francis |
| سنة النشر: | 2022 |
| المجموعة: | AJOL - African Journals Online |
| مصطلحات موضوعية: | Densities, Haar measure, global fields, k-free values of polynomials |
| الوصف: | In this work we investigate the general relation between the density of a subset of the ring of integers D of a general global field and the Haar measure of its closure in the profinite completion D. We then study a specific family of sets, the preimages of k-free elements (for any given k є N\{0; 1}) via one variable polynomial maps, showing that under some hypotheses their asymptotic density always exists and it is precisely the Haar measure of the closure in D of their set. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| العلاقة: | https://www.ajol.info/index.php/qm/article/view/236519/223480Test; https://www.ajol.info/index.php/qm/article/view/236519Test |
| الإتاحة: | https://www.ajol.info/index.php/qm/article/view/236519Test |
| رقم الانضمام: | edsbas.BBA92C06 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |