تقرير
An improvement on Schmidt's bound on the number of number fields of bounded discriminant and small degree
| العنوان: | An improvement on Schmidt's bound on the number of number fields of bounded discriminant and small degree |
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| المؤلفون: | Bhargava, Manjul, Shankar, Arul, Wang, Xiaoheng |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory |
| الوصف: | We prove an improvement on Schmidt's upper bound on the number of number fields of degree $n$ and absolute discriminant less than X for $6 \leq n \leq 94$. We carry this out by improving and applying a uniform bound on the number of monic integer polynomials, having bounded height and discriminant divisible by a large square, that we proved in a previous work. Comment: 15 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2204.01331 |
| رقم الأكسشن: | edsarx.2204.01331 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |