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Uniformly Diophantine numbers in a fixed real quadratic field
Published online by Cambridge University Press: 01 July 2009
Abstract
The field contains the infinite sequence of uniformly bounded continued fractions and similar patterns can be found in for any d>0. This paper studies the broader structure underlying these patterns, and develops related results and conjectures for closed geodesics on arithmetic manifolds, packing constants of ideals, class numbers and heights.
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- Research Article
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- Copyright © Foundation Compositio Mathematica 2009
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