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arXiv · 1211.5233

On arithmetic sums involving divisor functions in two variables

Adama Diene·Mohamed El Bachraoui
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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.

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Adama Diene, Mohamed El Bachraoui. 2012-11-22. On arithmetic sums involving divisor functions in two variables. https://arxiv.org/abs/1211.5233

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