Year: 2026
Type: preprint
Abstract: We study the set of integers $n \le x$ for which $\sum_{i=1}^{n}\frac{1}{\gcd(n,i)}$ takes an integer value. We show that the number of such integers is $\ll x^{2/3+ε}$ for all fixed $ε> 0$.
Source: arXiv (Cornell University)
Authors: De Koninck, Jean-Marie, Letendre, Patrick
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221156997