Maximum mean discrepancies of Farey sequences
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866908577597227008 |
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| author | Karvonen, Toni Zhigljavsky, Anatoly |
| author_facet | Karvonen, Toni Zhigljavsky, Anatoly |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10214 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Maximum mean discrepancies of Farey sequences Karvonen, Toni Zhigljavsky, Anatoly Statistics Theory Number Theory Machine Learning 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. |
| title | Maximum mean discrepancies of Farey sequences |
| topic | Statistics Theory Number Theory Machine Learning |
| url | https://arxiv.org/abs/2407.10214 |