Additive arithmetic functions with limit normal distribution
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866908484033839104 |
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| author | Volfson, Victor |
| author_facet | Volfson, Victor |
| contents | This paper proves several assertions on sufficient conditions for the convergence of additive arithmetic functions to the normal distribution. A generalization of the Erdos-Kac theorem was proved and determines the rate of convergence of additive arithmetic functions to the normal distribution in the cases considered. The paper provides examples of using the proved assertions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_10164 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Additive arithmetic functions with limit normal distribution Volfson, Victor Number Theory 11N37 This paper proves several assertions on sufficient conditions for the convergence of additive arithmetic functions to the normal distribution. A generalization of the Erdos-Kac theorem was proved and determines the rate of convergence of additive arithmetic functions to the normal distribution in the cases considered. The paper provides examples of using the proved assertions. |
| title | Additive arithmetic functions with limit normal distribution |
| topic | Number Theory 11N37 |
| url | https://arxiv.org/abs/2104.10164 |