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.

翻译：我们确定了一类广泛的半正定核函数，对于这类核函数，法里序列最大均值差异的特定多项式收敛速率等价于黎曼假设。该类别包含了所有阶数不小于二分之一的马特恩核。