On the distribution of the sequence of integers $d(n^2)$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916696583831552 |
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| author | Kampamolla, Venkatasubbareddy Ayyadurai, Sankaranarayanan |
| author_facet | Kampamolla, Venkatasubbareddy Ayyadurai, Sankaranarayanan |
| contents | In this paper, we study the distribution of the sequence of integers $d(n^2)$ under the assumption of the strong Riemann hypothesis. Under this assumption, we provide a refined asymptotic formula for the sum $\displaystyle\sum_{n\leq x}d(n^2)$ with an improved error term by extracting some more main terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13968 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the distribution of the sequence of integers $d(n^2)$ Kampamolla, Venkatasubbareddy Ayyadurai, Sankaranarayanan Number Theory In this paper, we study the distribution of the sequence of integers $d(n^2)$ under the assumption of the strong Riemann hypothesis. Under this assumption, we provide a refined asymptotic formula for the sum $\displaystyle\sum_{n\leq x}d(n^2)$ with an improved error term by extracting some more main terms. |
| title | On the distribution of the sequence of integers $d(n^2)$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2504.13968 |