Asymptotic Result of A Generalization of A GCD-Sum
arXiv:2206.05023
Abstract
In a paper in the American Mathematical Monthly, the corresponding author asks for an asymptotic of a gcd-sum function \begin{align}\sum_{ab\leq N}τ(\gcd(a,b))\label{eqn:taugcdsum}\end{align} We extensively study generalizations of the sum in the aforementioned paper and establish asymptotic results using elementary methods only.