Abstract
The Liouville inequality gives a lower bound for the distance between two distinct algebraic numbers in terms of their heights and their degrees. We refine the classical estimate in the special case where one of the algebraic numbers is very close to one of its Galois conjugates.
To the memory of Wolfgang Schwarz
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© 2016 Springer International Publishing Switzerland
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Bugeaud, Y. (2016). An Improvement of Liouville’s Inequality. In: Sander, J., Steuding, J., Steuding, R. (eds) From Arithmetic to Zeta-Functions. Springer, Cham. https://doi.org/10.1007/978-3-319-28203-9_5
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DOI: https://doi.org/10.1007/978-3-319-28203-9_5
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