Hausdorff dimensions of very well intrinsically approximable subsets of quadratic hypersurfaces

Lior Fishman; Keith Merrill; David Simmons

Hausdorff dimensions of very well intrinsically approximable subsets of quadratic hypersurfaces

Lior Fishman, Keith Merrill, David Simmons

Mathematics

Research output: Working paper › Preprint

Abstract

We prove an analogue of a theorem of A. Pollington and S. Velani ('05), furnishing an upper bound on the Hausdorff dimension of certain subsets of the set of very well intrinsically approximable points on a quadratic hypersurface. The proof incorporates the framework of intrinsic approximation on such hypersurfaces first developed in the authors' joint work with D. Kleinbock (preprint '14) with ideas from work of D. Kleinbock, E. Lindenstrauss, and B. Weiss ('04).

Original language	English
Number of pages	9
Publication status	Unpublished - 26 Feb 2015

Keywords

math.NT

Access to Document

150207648v2Submitted manuscript, 168 KB

http://arxiv.org/abs/1502.07648

Cite this

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