Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866913463357407232 |
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| author | Yamada, Tomohiro |
| author_facet | Yamada, Tomohiro |
| contents | We prove explicit asymptotic formulae for some functions used in sieve methods and show that there exists no odd multiperfect number of abundancy four whose squared part is cubefree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_16936 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form Yamada, Tomohiro Number Theory Primary 11A25, secondary 11A05, 11N25, 11N36 We prove explicit asymptotic formulae for some functions used in sieve methods and show that there exists no odd multiperfect number of abundancy four whose squared part is cubefree. |
| title | Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form |
| topic | Number Theory Primary 11A25, secondary 11A05, 11N25, 11N36 |
| url | https://arxiv.org/abs/2103.16936 |