تقرير
Equidistribution of Elements of Norm 1 in Cyclic Extensions
العنوان: | Equidistribution of Elements of Norm 1 in Cyclic Extensions |
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المؤلفون: | Petersen, Kathleen L., Sinclair, Christopher D. |
سنة النشر: | 2014 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Number Theory, 11K36, 11R42, 11R04, 11R27 |
الوصف: | Upon quotienting by units, the elements of norm 1 in a number field $K$ form a countable subset of a torus of dimension $r_1 + r_2 - 1$ where $r_1$ and $r_2$ are the numbers of real and pairs of complex embeddings. When $K$ is Galois with cyclic Galois group we demonstrate that this countable set is equidistributed in a finite cover of this torus with respect to a natural partial ordering induced by Hilbert's Theorem 90. Comment: 7 pages |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/1404.4648 |
رقم الأكسشن: | edsarx.1404.4648 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |