Divisors of an Integer in a Short Interval
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917958445432832 |
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| author | Letendre, Patrick |
| author_facet | Letendre, Patrick |
| contents | Let $\mathcal{D}_{n} \subset \mathbb{N}$ denote the set of the $τ(n)$ divisors of $n$. We study the function $$ D_{n}(X,Y):=|\{d \in \mathcal{D}_{n}:\ X \le d \le X+Y\}| $$ for $Y \le X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12146 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Divisors of an Integer in a Short Interval Letendre, Patrick Number Theory 11N37, 11N56, 11N64 Let $\mathcal{D}_{n} \subset \mathbb{N}$ denote the set of the $τ(n)$ divisors of $n$. We study the function $$ D_{n}(X,Y):=|\{d \in \mathcal{D}_{n}:\ X \le d \le X+Y\}| $$ for $Y \le X$. |
| title | Divisors of an Integer in a Short Interval |
| topic | Number Theory 11N37, 11N56, 11N64 |
| url | https://arxiv.org/abs/2503.12146 |