On the average of the sum-of-$a$-divisors function
Volume 100 / 2004
Colloquium Mathematicum 100 (2004), 103-109
MSC: 11N60, 11A25.
DOI: 10.4064/cm100-1-10
Abstract
We prove an ${\mit \Omega }$ result on the average of the sum of the divisors of $n$ which are relatively coprime to any given integer $a$. This generalizes the earlier result for $a$ prime proved by Adhikari, Coppola and Mukhopadhyay.
