Evaluating convolutions of divisor sums with quasimodular forms
Number Theory
2007-12-10 v2
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.
Keywords
Cite
@article{arxiv.math/0510429,
title = {Evaluating convolutions of divisor sums with quasimodular forms},
author = {Emmanuel Royer},
journal= {arXiv preprint arXiv:math/0510429},
year = {2007}
}
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26 pages