Orbits of algebraic numbers with low heights
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- by Gregory P. Dresden PDF
- Math. Comp. 67 (1998), 815-820 Request permission
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.References
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Additional Information
- Gregory P. Dresden
- Affiliation: Department of Mathematics, Washington & Lee University, Lexington, Virginia 24450
- Email: dresdeng@wlu.edu
- Received by editor(s): September 30, 1996
- Additional Notes: I am very grateful for the assistance and guidance of my advisor, Dr. Vaaler.
- © Copyright 1998 American Mathematical Society
- Journal: Math. Comp. 67 (1998), 815-820
- MSC (1991): Primary 11R04, 11R06; Secondary 12D10
- DOI: https://doi.org/10.1090/S0025-5718-98-00963-6
- MathSciNet review: 1468942