On arithmetic sums involving divisor functions in two variables
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🧮 math.NT
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involvingsumsdivisorfunctionsvariablesanalogueapplyarithmetic
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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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