Metric Diophantine approximation with respect to planar distance functions

Details Metric Diophantine approximation with respect to planar distance functions Metric Diophantine approximation with respect to planar distance functions

2004-01-27

arxiv.org/abs/math/0401371v1

Mathematics

Number Theory

Scientific paper

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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