An Improvement of Liouville’s Inequality

Yann Bugeaud ()
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Yann Bugeaud: Université de Strasbourg

A chapter in From Arithmetic to Zeta-Functions, 2016, pp 83-90 from Springer

Abstract: 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.

Keywords: Algebraic numbers; Height; Liouville’s inequality; Primary 11J04; Secondary 11J68 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-28203-9_5

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DOI: 10.1007/978-3-319-28203-9_5

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