The trace of totally positive algebraic integers
نویسندگان
چکیده
For all totally positive algebraic numbers α except a finite number of explicit exceptions, the following inequality holds:
منابع مشابه
Salem Numbers of Trace -2 and Traces of Totally Positive Algebraic Integers
Until recently, no Salem numbers were known of trace below −1. In this paper we provide several examples of trace −2, including an explicit infinite family. We establish that the minimal degree for a Salem number of trace −2 is 20, and exhibit all Salem numbers of degree 20 and trace −2. Indeed there are just two examples. We also settle the closely-related question of the minimal degree d of a...
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عنوان ژورنال:
- Math. Comput.
دوره 75 شماره
صفحات -
تاریخ انتشار 2006