On weighted inhomogeneous Diophantine approximation on planar curves
Number Theory
2014-06-18 v1
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].
Keywords
Cite
@article{arxiv.1211.2529,
title = {On weighted inhomogeneous Diophantine approximation on planar curves},
author = {Mumtaz Hussain and Tatiana Yusupova},
journal= {arXiv preprint arXiv:1211.2529},
year = {2014}
}
Comments
To appear: Mathematical Proceedings of the Cambridge Philosophical Society. arXiv admin note: substantial text overlap with arXiv:math/0503078 by other authors