论文信息 - Salem Numbers of Trace -2 and Traces of Totally Positive Algebraic Integers

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.

James McKee | Chris Smyth

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