Étude statistique du facteur premier médian, 2 : lois locales
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916739073179648 |
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| author | Rotgé, Jonathan |
| author_facet | Rotgé, Jonathan |
| contents | We estimate the local laws of the distribution of the middle prime factor of an integer, defined according to multiplicity or not. An asymptotic estimate with effective remainder is provided for a wide range of values. In particular this enables to precisely describe the phase transition occurring in the relevant distribution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15951 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Étude statistique du facteur premier médian, 2 : lois locales Rotgé, Jonathan Number Theory 11N25, 11N37 We estimate the local laws of the distribution of the middle prime factor of an integer, defined according to multiplicity or not. An asymptotic estimate with effective remainder is provided for a wide range of values. In particular this enables to precisely describe the phase transition occurring in the relevant distribution. |
| title | Étude statistique du facteur premier médian, 2 : lois locales |
| topic | Number Theory 11N25, 11N37 |
| url | https://arxiv.org/abs/2501.15951 |