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arXiv · 1601.06547

Intrinsic Diophantine Approximation on General Polynomial Surfaces

Morten Hein Tiljeset
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Abstract

We study the Hausdorff measure and dimension of the set of intrinsically simultaneously $\psi$-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.

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BibTeXRIS

Morten Hein Tiljeset. 2016-01-25. Intrinsic Diophantine Approximation on General Polynomial Surfaces. https://doi.org/10.1112/s0025579316000243

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