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

Published 21 Mar 2025 in math.CA and math.NT | (2503.17277v1)

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

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