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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2210.17466 |
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| _version_ | 1866916642721628160 |
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| author | Altman, Daniel Chase, Zachary |
| author_facet | Altman, Daniel Chase, Zachary |
| contents | We prove that any increasing sequence of real numbers with average gap $1$ and Poisson pair correlations has some gap that is at least $3/2+10^{-9}$. This improves upon a result of Aistleitner, Blomer, and Radziwill. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_17466 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the smallest gap in a sequence with Poisson pair correlations Altman, Daniel Chase, Zachary Combinatorics Number Theory We prove that any increasing sequence of real numbers with average gap $1$ and Poisson pair correlations has some gap that is at least $3/2+10^{-9}$. This improves upon a result of Aistleitner, Blomer, and Radziwill. |
| title | On the smallest gap in a sequence with Poisson pair correlations |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2210.17466 |