Evaluating convolution sums of the divisor function by quasimodular forms

We provide a systematic method to compute arithmetic sums including some previ- ously 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.

Article de revue

International Journal of Number Theory 3, No. 2, 231-261