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Maximum mean discrepancies of Farey sequences

arXiv 2407.10214 ↗First posted 14 Jul 2024math.ST math.NT stat.MLcited by 0

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Abstract (arXiv)

We identify a large class of positive-semidefinite kernels for which a certain polynomial rate of convergence of maximum mean discrepancies of Farey sequences is equivalent to the Riemann hypothesis. This class includes all Mat'ern kernels of order at least one-half.

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