تقرير
On a continued fraction algorithm in finite extensions of $\Q_p$ and its metrical theory
| العنوان: | On a continued fraction algorithm in finite extensions of $\Q_p$ and its metrical theory |
|---|---|
| المؤلفون: | Choudhuri, Manoj, Makadiya, Prashant J. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Primary: $11$J$70$, $11$J$83$, Secondary: $11$J$61$, $37$A$44$ |
| الوصف: | We develop a continued fraction algorithm in finite extensions of $\Q_p$ generalising certain algorithms in $\Q_p$, and prove the finiteness property for certain small degree extensions. We also discuss the metrical properties of the associated continued fraction maps for our algorithms using subsequence ergodic theory and moving averages. Comment: 20 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.04276 |
| رقم الأكسشن: | edsarx.2407.04276 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |