Quasi-modularity of generalized sum-of-divisors functions
Number Theory
2015-07-27 v2
Abstract
In 1919, P. A. MacMahon studied generating functions for generalized divisor sums. In this paper, we provide a framework in which to view these generating functions in terms of Jacobi forms, and prove that they are quasi-modular forms.
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Cite
@article{arxiv.1506.04963,
title = {Quasi-modularity of generalized sum-of-divisors functions},
author = {Simon Rose},
journal= {arXiv preprint arXiv:1506.04963},
year = {2015}
}
Comments
11 pages