تقرير
Pisot numbers, Salem numbers, and generalised polynomials
| العنوان: | Pisot numbers, Salem numbers, and generalised polynomials |
|---|---|
| المؤلفون: | Byszewski, Jakub, Konieczny, Jakub |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Mathematics - Combinatorics, Mathematics - Dynamical Systems, 11R06, 11J54, 11D61, 11J87 |
| الوصف: | We study sets of integers that can be defined by the vanishing of a generalised polynomial expression. We show that this includes sets of values of linear recurrent sequences of Salem type and some linear recurrent sequences of Pisot type. To this end, we introduce the notion of a generalised polynomial on a number field. We establish a connection between the existence of generalised polynomial expressions for sets of values of linear recurrent sequences and for subsemigroups of multiplicative groups of number fields. Comment: 18 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2302.06242 |
| رقم الأكسشن: | edsarx.2302.06242 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |