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arXiv · 2503.17277

Fourier decay of measures supported on sets of numbers with consecutive partial quotients belonging to a given set

Robert Fraser
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Abstract

We consider measures supported on sets of irrational numbers possessing many consecutive partial quotients satisfying a condition based on the previous partial quotients. We show that under mild assumptions, such sets will always support measures whose Fourier transform decays to zero.

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Robert Fraser. 2025-03-21. Fourier decay of measures supported on sets of numbers with consecutive partial quotients belonging to a given set. https://arxiv.org/abs/2503.17277

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