This is a preprint and may not have undergone formal peer review
Simmons, David orcid.org/0000-0002-9136-6635 (Submitted: 2016) Some manifolds of Khinchin type for convergence. [Preprint] (Submitted)
Abstract
Recently, Beresnevich, Vaughan, Velani, and Zorin (arXiv: 1506.09049) gave some sufficient conditions for a manifold to be of Khinchin type for convergence. We show that their techniques can be used in a more optimal way to yield stronger results. In the process we also improve a theorem of Dodson, Rynne, and Vickers ('89).
Metadata
| Item Type: | Preprint |
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| Authors/Creators: |
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| Keywords: | math.NT |
| Dates: |
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| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
| Funding Information: | Funder Grant number EPSRC EP/J018260/1 |
| Depositing User: | Pure (York) |
| Date Deposited: | 08 Jun 2023 23:14 |
| Last Modified: | 17 Sep 2025 04:52 |
| Status: | Submitted |
| Related URLs: | |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:200168 |

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