Asymptotic Result of A Generalization of A GCD-Sum
Number Theory
2022-06-13 v1
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}\tau(\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.
Cite
@article{arxiv.2206.05023,
title = {Asymptotic Result of A Generalization of A GCD-Sum},
author = {Masum Billal},
journal= {arXiv preprint arXiv:2206.05023},
year = {2022}
}