تقرير
A lozenge triangulation of the plane with integers
| العنوان: | A lozenge triangulation of the plane with integers |
|---|---|
| المؤلفون: | Bhat, Raghavendra N., Cobeli, Cristian, Zaharescu, Alexandru |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Mathematics - Combinatorics, Primary 11B37, Secondary 11B50, 52C20 |
| الوصف: | We introduce and study a three-folded linear operator depending on three parameters that has associated a triangular number tilling of the plane. As a result the set of all triples of integers is decomposed in classes of equivalence organized in four towers of two-dimensional triangulations. We provide the full characterization of the represented integers belonging to each network as families of certain quadratic forms. We note that one of the towers is generated by a germ that produces a covering of the plane with {L\"oschian} numbers. Comment: 21 pages, 9 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.10500 |
| رقم الأكسشن: | edsarx.2403.10500 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |