Author:
DICKINSON H.,DODSON M. M.
Abstract
The functional relations between the coordinates of points on a manifold make the
study of Diophantine approximation on manifolds much harder than the classical
theory in which the variables are independent. Nevertheless there has been considerable
progress in the metric theory of Diophantine approximation on smooth manifolds.
To describe this, some notation and terminology are needed.
Publisher
Cambridge University Press (CUP)
Cited by
16 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Intrinsic Diophantine approximation on quadric hypersurfaces;Journal of the European Mathematical Society;2021-10-19
2. Small values of Weyl sums;Journal of Mathematical Analysis and Applications;2021-03
3. On intrinsic and extrinsic rational approximation to Cantor sets;Ergodic Theory and Dynamical Systems;2020-02-10
4. Rational approximation on quadrics: A simplex lemma and its consequences;L’Enseignement Mathématique;2019-07-23
5. Diophantine approximation on polynomial curves;Mathematical Proceedings of the Cambridge Philosophical Society;2017-02-09