تقرير
On a Mertens-type conjecture for number fields
| العنوان: | On a Mertens-type conjecture for number fields |
|---|---|
| المؤلفون: | Hu, Daniel, Kaneko, Ikuya, Martin, Spencer, Schildkraut, Carl |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11N56 (Primary), 11N64 (Secondary) |
| الوصف: | We introduce a number field analogue of the Mertens conjecture and demonstrate its falsity for all but finitely many number fields of any given degree. We establish the existence of a logarithmic limiting distribution for the analogous Mertens function, expanding upon work of Ng. Finally, we explore properties of the generalized Mertens function of certain dicyclic number fields as consequences of Artin factorization. Comment: 37 pages, 4 tables |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2109.06665 |
| رقم الأكسشن: | edsarx.2109.06665 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |