Karvonen, T. and Zhigljavsky, A.  ORCID: https://orcid.org/0000-0003-0630-8279
2025.
Maximum mean discrepancies of Farey sequences.
Acta Mathematica Hungarica
10.1007/s10474-025-01577-5
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Official URL: http://dx.doi.org/10.1007/s10474-025-01577-5
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 Matérn kernels of order at least one-half.
| Item Type: | Article |
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| Date Type: | Published Online |
| Status: | In Press |
| Schools: | Schools > Mathematics |
| Additional Information: | RRS policy applied |
| Publisher: | Springer |
| ISSN: | 0236-5294 |
| Date of First Compliant Deposit: | 6 January 2026 |
| Date of Acceptance: | 5 October 2025 |
| Last Modified: | 06 Jan 2026 14:30 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/183553 |
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