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arXiv · 2503.12146

Divisors of an Integer in a Short Interval

Patrick Letendre
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Abstract

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 $Y \le X$.

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Patrick Letendre. 2025-03-15. Divisors of an Integer in a Short Interval. https://arxiv.org/abs/2503.12146

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