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arXiv:1904.08416 [math.NT]AbstractReferencesReviewsResources

Hausdorff and packing dimension of Diophantine sets

Antoine Marnat

Published 2019-04-17Version 1

Using the variational principle in parametric geometry of numbers, we compute the Hausdorff and packing dimension of Diophantine sets related to exponents of Diophantine approximation, and their intersections. In particular, we extend a result of Jarn\'ik and Besicovitch to intermediate exponents.

Comments: arXiv admin note: text overlap with arXiv:1510.06334
Categories: math.NT
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