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June 1, 2007International Journal of Number TheoryOpen Access

Evaluating Convolution Sums of the Divisor Function by Quasimodular Forms

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Abstract

We provide a systematic method to compute arithmetic sums including some previously computed by 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 and Zagier.

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Cite This Study

Emmanuel Royer (2007) studied this question.

synapsesocial.com/papers/6a2b9e8ef5f9f0081f484a70 https://doi.org/10.1142/s1793042107000924

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