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MOC
2000

Salem numbers of negative trace

13 years 10 months ago
Salem numbers of negative trace
We prove that, for all d 4, there are Salem numbers of degree 2d and trace -1, and that the number of such Salem numbers is d/ (log log d)2 . As a consequence, it follows that the number of totally positive algebraic integers of degree d and trace 2d - 1 is also d/ (log log d)2 .
C. J. Smyth
Added 19 Dec 2010
Updated 19 Dec 2010
Type Journal
Year 2000
Where MOC
Authors C. J. Smyth
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