Evaluating convolutions of divisor sums with quasimodular forms

Details Evaluating convolutions of divisor sums with quasimodular forms Evaluating convolutions of divisor sums with quasimodular forms

2005-10-20

arxiv.org/abs/math/0510429v2

International Journal of Number Theory 3, 2 (2007) Page: 231 - 261

Mathematics

Number Theory

26 pages

Scientific paper

10.1142/S1793042107000924

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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