The behaviour of a certain additive function in large intervals between consecutive primes
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909302241886208 |
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| author | Rassias, Michael Th. |
| author_facet | Rassias, Michael Th. |
| contents | We investigate the behaviour of a certain additive function depending on prime divisors of specific integers lying in large gaps between consecutive primes. The result is obtained by a combination of results and ideas related to large gaps between primes and the Erdös-Kac theorem, especially the Kubilius model from Probabilistic Number Theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_00394 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The behaviour of a certain additive function in large intervals between consecutive primes Rassias, Michael Th. Number Theory We investigate the behaviour of a certain additive function depending on prime divisors of specific integers lying in large gaps between consecutive primes. The result is obtained by a combination of results and ideas related to large gaps between primes and the Erdös-Kac theorem, especially the Kubilius model from Probabilistic Number Theory. |
| title | The behaviour of a certain additive function in large intervals between consecutive primes |
| topic | Number Theory |
| url | https://arxiv.org/abs/2409.00394 |