An Equidistribution Result for Differences Associated to Square Pyramidal Numbers II
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915276118818816 |
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| author | Dong, Anji Saettone, Katerina Song, Kendra Zaharescu, Alexandru |
| author_facet | Dong, Anji Saettone, Katerina Song, Kendra Zaharescu, Alexandru |
| contents | This paper presents some new results concerned with uniform distribution properties associated with the sequence $(a_n)_{n\in\mathbb{N}}$, which is defined as the distance from the $n$-th square pyramidal number to the closest square. We also extend the results to arithmetic progressions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04166 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Equidistribution Result for Differences Associated to Square Pyramidal Numbers II Dong, Anji Saettone, Katerina Song, Kendra Zaharescu, Alexandru Number Theory 11K06, 11K38, 11B99, 11L07, 11M99 This paper presents some new results concerned with uniform distribution properties associated with the sequence $(a_n)_{n\in\mathbb{N}}$, which is defined as the distance from the $n$-th square pyramidal number to the closest square. We also extend the results to arithmetic progressions. |
| title | An Equidistribution Result for Differences Associated to Square Pyramidal Numbers II |
| topic | Number Theory 11K06, 11K38, 11B99, 11L07, 11M99 |
| url | https://arxiv.org/abs/2505.04166 |