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arXiv · 1211.2529

On weighted inhomogeneous Diophantine approximation on planar curves

Mumtaz Hussain·Tatiana Yusupova
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Abstract

This paper develops the metric theory of simultaneous inhomogeneous Diophantine approximation on a planar curve with respect to multiple approximating functions. Our results naturally generalize the homogeneous Lebesgue measure and Hausdor? dimension results for the sets of simultaneously well-approximable points on planar curves, established in [2, 6, 10, 20].

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Mumtaz Hussain, Tatiana Yusupova. 2012-11-12. On weighted inhomogeneous Diophantine approximation on planar curves. https://doi.org/10.1017/s0305004112000497

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