Intrinsic Diophantine Approximation on General Polynomial Surfaces
Number Theory
2019-02-20 v2
Abstract
We study the Hausdorff measure and dimension of the set of intrinsically simultaneously -approximable points on a curve, surface, etc., given as a graph of integer valued polynomials. We obtain complete answers to these questions for algebraically "nice" manifolds. This generalizes earlier work done in the case of curves.
Cite
@article{arxiv.1601.06547,
title = {Intrinsic Diophantine Approximation on General Polynomial Surfaces},
author = {Morten Hein Tiljeset},
journal= {arXiv preprint arXiv:1601.06547},
year = {2019}
}
Comments
This is a draft of a paper to appear in Mathematika. The final version may differ