On weighted inhomogeneous Diophantine approximation on planar curves

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].

To appear: Mathematical Proceedings of the Cambridge Philosophical Society. arXiv admin note: substantial text overlap with arXiv:math/0503078 by other authors

Cited by in corpus (1)

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