Maximum mean discrepancies of Farey sequences
Statistics Theory
2025-10-07 v3 Number Theory
Machine Learning
Statistics Theory
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.
Keywords
Cite
@article{arxiv.2407.10214,
title = {Maximum mean discrepancies of Farey sequences},
author = {Toni Karvonen and Anatoly Zhigljavsky},
journal= {arXiv preprint arXiv:2407.10214},
year = {2025}
}
Comments
To appear in Acta Mathematica Hungarica