Mathematics of Computation

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ISSN 1088-6842(e) ISSN 0025-5718(p)

Orbits of algebraic numbers with low heights

Author(s): Gregory P. Dresden.
Journal: Math. Comp. 67 (1998), 815-820.
MSC (1991): Primary 11R04, 11R06; Secondary 12D10
MathSciNet review: 1468942
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Abstract | References | Similar articles | Additional information

Abstract: We prove that the two smallest values of $h(\alpha ) + h(\frac{1}{1-\alpha }) + h(1 - \frac{1}{\alpha })$ are $0$ and $0.4218\dots$ , for $\alpha$ any algebraic integer.

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