We prove an Ω 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-10,
author = {Shi-Chao Chen and Yong-Gao Chen},
title = {On the average of the sum-of-a-divisors function},
journal = {Colloquium Mathematicae},
volume = {100},
year = {2004},
pages = {103-109},
zbl = {1062.11059},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-10}
}
Shi-Chao Chen; Yong-Gao Chen. On the average of the sum-of-a-divisors function. Colloquium Mathematicae, Tome 100 (2004) pp. 103-109. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-10/