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arXiv · 1506.04963

Quasi-modularity of generalized sum-of-divisors functions

Simon Rose
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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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Simon Rose. 2015-06-16. Quasi-modularity of generalized sum-of-divisors functions. https://arxiv.org/abs/1506.04963

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