Maximum mean discrepancies of Farey sequences

Toni Karvonen, Anatoly Zhigljavsky

公開日: 2024/7/14

Abstract

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.