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. |