On a sum of the error term of the Dirichlet divisor function over primes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912053099233280 |
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| author | Guo, Zhen Li, Xin |
| author_facet | Guo, Zhen Li, Xin |
| contents | Let $d(n)$ be the Dirichlet divisor function and $Δ(x)$ denote the error term of the sum $\sum_{n\leqslant x}d(n)$ for a large real variable $x$. In this paper we focus on the sum $\sum_{p\leqslant x}Δ^2(p)$, where $p$ runs over primes. We prove that there exists an asymptotic formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00329 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a sum of the error term of the Dirichlet divisor function over primes Guo, Zhen Li, Xin Number Theory Let $d(n)$ be the Dirichlet divisor function and $Δ(x)$ denote the error term of the sum $\sum_{n\leqslant x}d(n)$ for a large real variable $x$. In this paper we focus on the sum $\sum_{p\leqslant x}Δ^2(p)$, where $p$ runs over primes. We prove that there exists an asymptotic formula. |
| title | On a sum of the error term of the Dirichlet divisor function over primes |
| topic | Number Theory |
| url | https://arxiv.org/abs/2410.00329 |