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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.17031 |
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| _version_ | 1866916897610530816 |
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| author | Kerr, Bryce Wang, Hongliang |
| author_facet | Kerr, Bryce Wang, Hongliang |
| contents | We establish new conditions under which a sequence of real numbers has metric Poissonian pair correlation. These conditions strengthen results of Aistleitner, El-Baz and Munsch (2021) and resolve one of their open problems under a mild growth assumption. As applications, we show that quantitatively convex and polynomial sequences have metric Poissonian pair correlation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17031 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Metric Poissonian pair correlation for real sequences and energy estimates Kerr, Bryce Wang, Hongliang Number Theory We establish new conditions under which a sequence of real numbers has metric Poissonian pair correlation. These conditions strengthen results of Aistleitner, El-Baz and Munsch (2021) and resolve one of their open problems under a mild growth assumption. As applications, we show that quantitatively convex and polynomial sequences have metric Poissonian pair correlation. |
| title | Metric Poissonian pair correlation for real sequences and energy estimates |
| topic | Number Theory |
| url | https://arxiv.org/abs/2506.17031 |