Improved Average Bounds for an Inequality of Alladi, Erdös, and Vaaler
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908540933767168 |
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| author | O'Kuhn, Cooper |
| author_facet | O'Kuhn, Cooper |
| contents | We prove an averaged version of a claim suspected to be true by Alladi, Erdös, and Vaaler. Qualitatively, the result states that a divisor sum of a multiplicative function, which obeys certain size constraints, derives most of its value from its "small" divisors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12570 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Improved Average Bounds for an Inequality of Alladi, Erdös, and Vaaler O'Kuhn, Cooper Number Theory We prove an averaged version of a claim suspected to be true by Alladi, Erdös, and Vaaler. Qualitatively, the result states that a divisor sum of a multiplicative function, which obeys certain size constraints, derives most of its value from its "small" divisors. |
| title | Improved Average Bounds for an Inequality of Alladi, Erdös, and Vaaler |
| topic | Number Theory |
| url | https://arxiv.org/abs/2509.12570 |