تقرير
On $\mathfrak{P}$-adic continued fractions with extraneous denominators: some explicit finiteness results
| العنوان: | On $\mathfrak{P}$-adic continued fractions with extraneous denominators: some explicit finiteness results |
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| المؤلفون: | Capuano, Laura, Checcoli, Sara, Mula, Marzio, Terracini, Lea |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11J70, 11D88, 11Y65 |
| الوصف: | Let $K$ be a number field. We show that, up to allowing a finite set of denominators in the partial quotients, it is possible to define algorithms for $\mathfrak P$-adic continued fractions satisfying the finiteness property on $K$ for every prime ideal $\mathfrak P$ of sufficiently large norm. This provides, in particular, a new algorithmic approach to the construction of division chains in number fields. Comment: 23 pages, comments are welcome! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.14034 |
| رقم الأكسشن: | edsarx.2311.14034 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |