On arithmetic sums involving divisor functions in two variables
Number Theory
2012-11-26 v1
Abstract
We prove the analogue of an identity of Huard, Ou, Spearman and Williams and apply it to evaluate a variety of sums involving divisor functions in two variables. It turns out that these sums count representations of positive integers involving radicals.
Cite
@article{arxiv.1211.5233,
title = {On arithmetic sums involving divisor functions in two variables},
author = {Adama Diene and Mohamed El Bachraoui},
journal= {arXiv preprint arXiv:1211.5233},
year = {2012}
}
Comments
13 pages, submitted