Almost sure bounds for a weighted Steinhaus random multiplicative function
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866908634365034496 |
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| author | Hardy, Seth |
| author_facet | Hardy, Seth |
| contents | We obtain almost sure bounds for the weighted sum $\sum_{n \leq t} \frac{f(n)}{\sqrt{n}}$, where $f(n)$ is a Steinhaus random multiplicative function. Specifically, we obtain the bounds predicted by exponentiating the law of the iterated logarithm, giving sharp upper and lower bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_00499 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Almost sure bounds for a weighted Steinhaus random multiplicative function Hardy, Seth Number Theory 11K65 (Primary) We obtain almost sure bounds for the weighted sum $\sum_{n \leq t} \frac{f(n)}{\sqrt{n}}$, where $f(n)$ is a Steinhaus random multiplicative function. Specifically, we obtain the bounds predicted by exponentiating the law of the iterated logarithm, giving sharp upper and lower bounds. |
| title | Almost sure bounds for a weighted Steinhaus random multiplicative function |
| topic | Number Theory 11K65 (Primary) |
| url | https://arxiv.org/abs/2307.00499 |