Diophantine approximation on planar curves: the convergence theory

成果类型:
Article
署名作者:
Vaughan, R. C.; Velani, S.
署名单位:
Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; University of York - UK
刊物名称:
INVENTIONES MATHEMATICAE
ISSN/ISSBN:
0020-9910
DOI:
10.1007/s00222-006-0509-9
发表日期:
2006
页码:
103-124
关键词:
摘要:
The convergence theory for the set of simultaneously psi-approximable points lying on a planar curve is established. Our results complement the divergence theory developed in [1] and thereby completes the general metric theory for planar curves.
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