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Intrinsic Diophantine Approximation on General Polynomial Surfaces (1601.06547v2)

Published 25 Jan 2016 in math.NT

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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