Metric Diophantine approximation with respect to planar distance functions

Simon Kristensen

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Metric Diophantine approximation with respect to planar distance functions

Simon Kristensen

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Abstract

We outline a proof of an analogue of Khintchine's Theorem in R^2, where the ordinary height is replaced by a distance function satisfying an irrationality condition as well as certain decay and symmetry conditions.

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Simon Kristensen. 2004-01-27. Metric Diophantine approximation with respect to planar distance functions. https://arxiv.org/abs/math/0401371

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