Equidistribution of Elements of Norm 1 in Cyclic Extensions

التفاصيل البيبلوغرافية
العنوان: Equidistribution of Elements of Norm 1 in Cyclic Extensions
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