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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2408.00979 |
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| _version_ | 1866911975173259264 |
|---|---|
| author | Wang, Rui-Jing |
| author_facet | Wang, Rui-Jing |
| contents | For any positive integer $n$, let $σ(n)$ be the sum of all positive divisors of $n.$ In this paper, it is proved that the set of positive integers $ n $ for which $ σ(30n+1)\geq σ(30n) $ has a density less than $ 0.0371813, $ which answers a recent problem of Pongsriiam in part. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00979 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a problem of Pongsriiam on the sum of divisors, II Wang, Rui-Jing Number Theory For any positive integer $n$, let $σ(n)$ be the sum of all positive divisors of $n.$ In this paper, it is proved that the set of positive integers $ n $ for which $ σ(30n+1)\geq σ(30n) $ has a density less than $ 0.0371813, $ which answers a recent problem of Pongsriiam in part. |
| title | On a problem of Pongsriiam on the sum of divisors, II |
| topic | Number Theory |
| url | https://arxiv.org/abs/2408.00979 |