September 4, 2024Open Access

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

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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.

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Fraser et al. (Wed,) studied this question.

synapsesocial.com/papers/68e5969fb6db643587531f83 https://doi.org/https://doi.org/10.48550/arxiv.2409.02854

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