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 |
---|---|
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. |