Fourier dimension estimates for sets of exact approximation order: The case of small approximation exponents
Fraser, Robert Wheeler, Reuben
Fraser, Robert
Wheeler, Reuben
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2024-10-02
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Robert Fraser, Reuben Wheeler, Fourier Dimension Estimates for Sets of Exact Approximation Order: The Case of Small Approximation Exponents, International Mathematics Research Notices, Volume 2024, Issue 21, November 2024, Pages 13651–13694, https://doi.org/10.1093/imrn/rnae210
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We show for decreasing, positive approximation functions such that and such that that the set of numbers approximable to the exact order has positive Fourier dimension. This implies that the set contains normal numbers. © 2024 The Author(s). Published by Oxford University Press. All rights reserved.
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Oxford University Press
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International Mathematics Research Notices
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10737928