Asymptotic Result of A Generalization of A GCD-Sum

2022/06/04 by Billal, Masum
#11A25 #11M06 #11N37 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2206.05023

Abstract

In a paper in the American Mathematical Monthly, the corresponding author asks for an asymptotic of a gcd-sum function ∑_{ab≤ N}τ(gcd(a,b)) We extensively study generalizations of the sum in the aforementioned paper and establish asymptotic results using elementary methods only.

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