关于平面曲线上的加权非齐次丢番图逼近
数论
2014-06-18 v1
摘要
本文发展了关于多个逼近函数的平面曲线上联立非齐次丢番图逼近的度量理论。我们的结果自然地推广了文献 [2, 6, 10, 20] 中建立的关于平面曲线上联立良逼近点集的齐次 Lebesgue 测度和 Hausdorff 维数结果。
引用
@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}
}
备注
To appear: Mathematical Proceedings of the Cambridge Philosophical Society. arXiv admin note: substantial text overlap with arXiv:math/0503078 by other authors