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Sharp Fourier decay estimates for measures supported on the well-approximable numbers

Year: 2025
Type: article
Abstract: We construct a measure on the well-approximable numbers whose Fourier transform decays at a nearly optimal rate. This gives a logarithmic improvement on a previous construction of Kaufman.
Authors: Robert Fraser, Thanh Nguyen
Language: English
Open Access status: diamond
OpenAlex ID: W4413654615
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