On arithmetic sums involving divisor functions in two variables

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.

13 pages, submitted

References in corpus (1)

• Evaluating convolutions of divisor sums with quasimodular forms