2012/11/12 by Mumtaz Hussain, Tatiana Yusupova
Mathematics · #math.NT
paper · pdf · doi:10.1017/s0305004112000497
published as Math. Proc. Cambridge Philos. Soc. 154 (2013), no. 2, 225--241 · To appear: Mathematical Proceedings of the Cambridge Philosophical Society. arXiv admin note: substantial text overlap with arXiv:math/0503078 by other authors
arxiv created 2012/11/12 · arxiv updated 2014/06/18
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].