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<p>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 Matérn kernels of order at least one-half.</p>

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Maximum mean discrepancies of Farey sequences

  • 期刊论文

  • 发表日期：

    2025年12月20日

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  • T. Karvonen,
  • A. Zhigljavsky

摘要

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 Matérn kernels of order at least one-half.