Evaluating convolutions of divisor sums with quasimodular forms
Abstract
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- October 2005
- DOI:
- arXiv:
- arXiv:math/0510429
- Bibcode:
- 2005math.....10429R
- Keywords:
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- Mathematics - Number Theory;
- 11A25 11F11 11F25 11F20
- E-Print:
- 26 pages