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arxiv: math/0510429 · v2 · submitted 2005-10-20 · 🧮 math.NT

Evaluating convolutions of divisor sums with quasimodular forms

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keywords formsalacamethodquasimodularsumsandzagierarithmeticbeen
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We provide a systematic method to compute arithmetic sums including some previously computed by Alaca, Alaca, Besge, Cheng, Glaisher, Huard, Lahiri, Lemire, Melfi, Ou, Ramanujan, Spearman and Williams. Our method is based on quasimodular forms. This extension of modular forms has been constructed by Kaneko andZagier.

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